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asambeis [7]
3 years ago
14

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

Mathematics
2 answers:
nalin [4]3 years ago
8 0

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

Lelu [443]3 years ago
7 0

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

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