Question

What is the solution to the equation below? Round your answer to two

decimal places.
2^3x=91

Answer 1

11.38
(I’m not sure if this was the equation you asked for or not. Sorry if it isn’t ❤️)

2^3 = 8

So:

9x = 91

Divide both sides by 9

x = 91/9
x = 11.38

~~hope this helps~~

Answer 2

The solution of the equation is
`x=2.169..`

Explanation:

Given : Equation
`2^(3x)=91`

To find : What is the solution to the equation below?

Solution :

Equation
`2^(3x)=91`

Taking log both side,

`\log(2^(3x))=\log(91)`

Apply logarithmic property,
`\log a^x=x\log a`

`3x\log(2)=\log(91)`

`3x=(\log(91))/(\log(2))`

`x=(\log(91))/(3\log(2))`

`x=2.169..`

Therefore, The solution of the equation is
`x=2.169..`