Persamaan Eksponensial 1, 2

Presentation

•

Mathematics

•

10th Grade

•

Medium

Chairun Zarkasyi

Used 26+ times

FREE Resource

7 Slides • 8 Questions

Persamaan Eksponensial

Bentuk 1 dan 2

Chairun Nisa Zarkasyi

SMAN 1 Gamping

Contoh Soal:

Tentukan nilai x yang memenuhi persamaan $2^{x+3}=256$ .

Jawab:
$2^{x+3}=256$
$2^{x+3}=2^8$
Karena bilangan pokok $\left(2\right)$ sudah sama, maka:
$x+3=8$
$x=8-3$
$x=5$

Dengan mengetahui sifat-sifat bilangan berpangkat, maka persamaan eksponensial dapat diselesaikan.

Silakan siapkan buku catatan dan alat tulis untuk menyelesaikan soal-soal persamaan eksponensial berikut ini.

Tuliskan langkah-langkah penyelesaiannya ya...

Multiple Choice

Nilai x yang memenuhi persamaan eksponensial

4^x=32

adalah ....

$\frac{\text{3}}{\text{2}}$

$\frac{5}{2}$

Multiple Choice

$3^{4x}=\frac{1}{81}$

Nilai x yang memenuhi persamaan eksponensial tersebut adalah ....

$-4$

$-1$

$1$

$3$

$4$

Multiple Choice

Penyelesaian persamaan $9^{\left(4-x\right)}=\frac{1}{27}$ adalah ...

$-5\frac{1}{2}$

$-2\frac{1}{2}$

$2\frac{1}{2}$

$3\frac{1}{2}$

$5\frac{1}{2}$

Multiple Choice

$2^x=\sqrt{8}$

Nilai x yang memenuhi persamaan eksponensial tersebut adalah ....

$\frac{3}{2}$

$\frac{2}{3}$

$\frac{1}{2}$

Contoh Soal:

Tentukan nilai x yang memenuhi persamaan $2^{x-4}=\frac{1}{16^{x+2}}$ .

Jawab:
$2^{x-4}=\frac{1}{16^{x+2}}$
$2^{x-4}=\left(16^{x+2}\right)^{-1}$
$2^{x-4}=16^{-x-2}$
$2^{x-4}=\left(2^4\right)^{-x-2}$

2^{x-4}=2^{-4x-8}

Selanjutnya...

Lanjutan...

$2^{x-4}=2^{-4x-8}$

Karena bilangan pokok $\left(2\right)$ sudah sama, maka:
$x-4=-4x-8$
$x+4x=-8+4$

5x=-4

x=-\frac{4}{5}

Multiple Choice

Nilai x yang memenuhi persamaan eksponensial

6^{x+3}=6^{2x-1}

adalah ....

$\frac{3}{2}$

$\frac{4}{3}$

Multiple Choice

Nilai x yang memenuhi persamaan eksponensial $125^x=5^{x+2}$ adalah ... .

-1

-2

Multiple Choice

Nilai x yang memenuhi persamaan eksponensial $4^{x+3}=\sqrt{8^{x+5}}$ adalah ....

Multiple Choice

Himpunan penyelesaian persamaan $2^{\left(x^2+x-2\right)}=16^{\left(x+2\right)}$ adalah ...

$\left\{-5,2\right\}$

$\left\{-5,1\right\}$

$\left\{-2,5\right\}$

$\left\{-2,6\right\}$

$\left\{-1,5\right\}$

Sekian dan Terima Kasih

Jangan lupa jaga kesehatan dan tetap semangat belajar.

Persamaan Eksponensial

Bentuk 1 dan 2

Chairun Nisa Zarkasyi

SMAN 1 Gamping

Show answer

Auto Play

Slide 1 / 15

SLIDE

Similar Resources on Wayground

12 questions

Quadratic Applications Warmup

Presentation

•

9th - 10th Grade

9 questions

Geometric Mean

Presentation

•

9th - 10th Grade

10 questions

The Discriminant

Presentation

•

9th Grade

10 questions

Parallel and perpendicular slope

Presentation

•

9th Grade

12 questions

Points, Lines, and Planes

Presentation

•

10th Grade

12 questions

Complex Numbers

Presentation

•

10th Grade

12 questions

Lesson 4: Relations and Functions

Presentation

•

10th Grade

13 questions

Circumference and Area of Circles (Review)

Presentation

•

10th Grade

Popular Resources on Wayground

10 questions

Safety Day 2026 – Student Review

Quiz

•

9th Grade

21 questions

Continents and Oceans

Quiz

•

6th Grade

20 questions

Parts of Speech

Quiz

•

5th Grade

16 questions

Subject & Predicate

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

Map Skills

Quiz

•

3rd Grade

22 questions

Continents and Oceans

Quiz

•

5th Grade

15 questions

Rounding Decimals

Quiz

•

5th Grade

Discover more resources for Mathematics

10 questions

Exploring the Basics of Exponents

Interactive video

•

6th - 10th Grade

20 questions

Unit 5 Test RSC (25-26)

Quiz

•

10th Grade

12 questions

Identify Rigid Transformations

Quiz

•

8th - 12th Grade

10 questions

Complementary, Supplementary, Vertical, and Linear Pairs

Quiz

•

9th - 12th Grade

10 questions

Solving Two-Step Equations with Negatives

Interactive video

•

6th - 10th Grade

22 questions

Identify Vertical and Horizontal Translations

Quiz

•

9th - 12th Grade

10 questions

Exploring Equivalent Ratios and Ratio Tables

Interactive video

•

6th - 10th Grade

10 questions

Graphing Inequalities on a Number Line

Quiz

•

9th - 12th Grade