Question

7(6)^×=39How do I solve for x?

Answer 1

Given:

`7(6)^x=39`

Required:

We need to find the value of x.

Step-by-step explanation:

Divide both sides of the equation by 7.

`(7(6)^x)/(7)=(39)/(7)`
`(6)^x=(39)/(7)`

Take a natural log on both sides of the equation.

`In(6)^x=In((39)/(7))`
`Use\text{ }In(a)^n=nIn(a).`
`xIn(6)=In((39)/(7))`
`Divide\text{ both sides of the equation by }In(6).`
`(xIn(6))/(In(6))=(In(39\/7))/(In(6))`
`x=(In(39\/7))/(In(6))`
`x=0.9587`
`x=0.96`

Final answer:

`x=0.9587`
`x=0.96`