Question

Solve for x. 95=35 Express the answer to the hundredths place (i.e., two digits after the decimal point).

Answer 1

`x = 1.28`

Explanation:

Given

`95 = 35^x`

Required

Solve for x

`95 = 35^x`

Take Log of both sides

`Log95 = Log35^x`

Apply law of logarithm

`Log95 = xLog35`

Divide both sides by Log35

`x = (Log95)/(Log35)`

`x = (1.97772360529)/(1.54406804435)`

`x = 1.28085262338`

Approximate

`x = 1.28`