Question

Solve 4^(x+2) = 12 for x using the change of base formula log base b of y equals log y over log b.

Answer 1

Answer:

x=ln(12)/ln(4)-2

Step-by-step explanation:

4^(x+2)=12

x+2=ln(12)/ln(4)

x=ln(12)/ln(4)-2

Answer 2

Answer:

$x \approx -0.208$

Step-by-step explanation:

By applying logarithms to each side of the equation and some algebraic handling:

$x+2 = \log_{4} 12$

$x + 2 = \frac{\log_{10} 12}{\log_{10} 4}$

$x = \frac{\log_{10}12}{\log_{10}4} - 2$

$x \approx -0.208$