Question

Solve exponential equations:

6^x+3=8
Note: The x+3 is actually the exponent, it is not 6 to the xth power plus 3 equals 8. It is 6 to the x+3 th power equals 8

Answer 1

`\boxed{x = −1.839}`

Explanation:

`{6}^(( x + 3)) = 8 \\ (x + 3) = log_(6)(8) \\ x = log_(6)(8) - 3 \\ x = ( log(8) )/( log(6) ) - 3 \\ x = 1.1605584217 - 3 \\ \boxed{ x \: is \: exactly = −1.839441578}`