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

Answer:

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

Step-by-step 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, $\log a^x=x\log a$

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

$3x=\frac{\log(91)}{\log(2)}$

$x=\frac{\log(91)}{3\log(2)}$

$x=2.169..$

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