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

Answer:

$\boxed{x = −1.839}$

Step-by-step explanation:

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