Pembahasan Soal Rumus Dasar Logaritma

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Mathematics

•

10th Grade

•

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Dwie Sari

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7 Slides • 6 Questions

Pembahasan Soal Rumus Dasar Logaritma

By: Dwie Puspita Sari, S.Pd

Rumus Dasar Logaritma

Logaritma adalah suatu operasi invers atau kebalikan dari perpangkatan.
Jika diketahui suatu perpangkatan
$a^c=b$ maka bentuk tersebut dapat dituliskan dalam bentuk logaritma menjadi: $a\ _{\log\ b=c\ }$ dengan a > 0 dan a ≠ 1.

Pembahasan Soal Rumus Dasar Logaritma

1. Tentukan nilai logaritma dari

a.\ 5_{\log\ 625}

\rightarrow

5^4=625

\rightarrow

4

b.\ 3_{\log\ 9}

\rightarrow

3^2=9

\rightarrow

2

c.\ \frac{1}{3}_{\log\ 3}^{ }

\rightarrow

\left(\frac{1}{3}\right)^{-1}=3

\rightarrow

-1

2. Nyatakan tiap bentuk pangkat berikut ini dengan menggunakan notasi logarima

$a.\ 5^2=25\ \rightarrow\ 5_{\log25=2}$
$b.\ 6^{-2}=\ \frac{1}{36}\ \rightarrow\ 6_{\ \log\ \frac{1}{36}=-2}$

3. Nyatakan tiap bentuk logaritma di bawah ini dengan memakai notasi eksponen

a.\ 6_{\ \log\ 216=3}\ \rightarrow\ 6^3=216

b.\ 2_{\log\left(\frac{1}{32}\right)=-5}\ \rightarrow\ \left(-5\right)^2=\frac{1}{32}

c.\ 5_{\ \log\ 125=3}\ \rightarrow\ 5^3=125

KUIS

Berdasarkan pembahasan soal sebelumnya..

Silahkan kalian menjawab kuis berikut yaa :)

Multiple Select

Nilai logaritma dari

7_{\log\ 49}

adalah...

Multiple Select

Nilai logaritma dari :

\frac{1}{5}_{\ \log125}

adalah

-2

-3

Multiple Select

Notasi logaritma dari:

5^{-2}=\frac{1}{25}

adalah...

$5_{\log25=-2}$

$-2_{\log\ \left(\frac{1}{25}\right)=5}$

$5_{\log\left(\frac{1}{25}\right)=-2}$

$5_{\ \log\ 25=2}$

Multiple Select

Bentuk eksponen dari:

9_{\ \log\ 81=2}

adalah...

$2^9$

$9^2$

$81^2$

$9^{-2}$

Multiple Select

Notasi eksponen dari:

\frac{1}{3}_{\ \log\ 3=-1}

adalah...

$\left(\frac{1}{3}\right)^{-1}$

$\left(\frac{1}{3}\right)^{-3}$

$3^{-1}$

$3^{\left(\frac{1}{3}\right)}$

Multiple Select

Nilai logaritma dari :

\frac{1}{5}_{\ \log125}

adalah

-2

-3

SEMANGAT BELAJAR YAA ... :)

Pembahasan Soal Rumus Dasar Logaritma

By: Dwie Puspita Sari, S.Pd

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