Question

Solve 3^x−5 = 9

Answer 1

these are the answer choices

A)x = −3

B)x = 2

C)x = 7

D)x = 8

Answer 2

\[\huge a^{-1} = \frac{ 1 }{ a^1 }\]

Answer 3

is this the form i need to put it in to solve?

Answer 4

hold on i typed the question wrong

Answer 5

so
\[ \huge 3x^{−5} = \frac{ 3 }{ x^5 }\]
moving the number of variable to the denominator turns the equation in to positive

Answer 6

kk

Answer 7

\[3^{x-5}=9\]

Answer 8

sorry my bad

Answer 9

make the both sides to have the same constant number
so
\[ 3^{x-5} = 9 \]\[9 = 3^2\]so \[ 3^{x-5} = 3^2\]

Answer 10

so now since both sides have the same coefficient
you can take just the exponent part and solve for x

Answer 11

\[x-5 = 2 \] solve for x

Answer 12

x=7

Answer 13

correct

Answer 14

ty!

Answer 15

yw