15^4x-8= 1 then what is x
Answers
Answered by
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
Answered by
1
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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