Question

15^4x-8= 1 then what is x ​

Answer 1

Answer:

0.15

Step-by-step explanation:

15*4x-8=1

15*4x =  8+1 = 9

4x = 9/15 = 0.6

x = 0.6/4

= 0.15

Answer 2

Answer:

How to solve your problem

(15)^{4x-8}=1

Solve

1

Take logarithm of both sides

\textcolor{#B14BA5}{15^{4x-8}=1}

\textcolor{#B14BA5}{4x-8=\log _{15}(1)}

2

Logarithm of 1 is 0

4x-8=\textcolor{#B14BA5}{\log _{15}(1)}

4x-8=\textcolor{#B14BA5}{0}

3

Add

8

to both sides

4x-8=0

4x-8+\textcolor{#B14BA5}{8}=0+\textcolor{#B14BA5}{8}

4

Simplify

Add the numbers

Add the numbers

4x=8

5

Divide both sides by the same factor

4x=8

\frac{4x}{\textcolor{#B14BA5}{4}}=\frac{8}{\textcolor{#B14BA5}{4}}

6

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

x=2

Step-by-step explanation:

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