Persamaaan Eksponen

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•

Mathematics

•

10th Grade

•

Easy

Folia Jafni

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5 Slides • 1 Question

PERSAMAAN EKSPONEN

Pengertian

Persamaan yang mengandung variabel dalam eksponen atau pangkatnya dimana persamaaan sebelah kiri harus sama dengan persamaan sebelah kanan

Contoh : 4^(x+1)= 4³

4^(x+1)= 4³
x+1 = 3
x= 3-1
x= 2

a^f(x)=a^p

Contoh : 2^(x-2) = 1
2^(x-2) =1
2^(x-2)=2⁰
x-2=0
x= 2

a^f(x)=1

Sifat- sifat Persamaan Eksponen

Contoh :3^(2x-1)=3^(x+3)

3^(2x-1)=3^(x+3)
2x-1=x+3
2x-x=3+1
x=4

a^f(x)=a^g(x)

Contoh : 2^x2-4 = 3^x2-4

2^x2-4 = 3^x2-4

x²-4 = 0
( x+2) (x-2) =0
x₁= -2 dan x₂=2

a^f(x)=b^f(x)

Multiple Choice

Nilai x dari persamaan $9^{\left(2x-3\right)}=1$

$\frac{3}{2}$

$\frac{2}{3}$

Maka nilai b = ...

PERSAMAAN EKSPONEN

Pengertian

Persamaan yang mengandung variabel dalam eksponen atau pangkatnya dimana persamaaan sebelah kiri harus sama dengan persamaan sebelah kanan

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