How do you evaluate the expression ${log}_{4} (16^{x})$ $log_4(16^x)$ ?

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How do you evaluate the expression ${log}_{4} (16^{x})$ $log_4(16^x)$ ?

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Answer 1 · 2016-11-10T19:04:20

${log}_{4} (16^{x}) = 2 x .$ $log_4(16^x)=2x.$

Explanation:

${log}_{4} (16^{x})$ $log_4(16^x)$
$= x \cdot {log}_{4} (16)$ $=x*log_4(16)$
$= x \cdot \frac{log 16}{log 4}$ $=x*log 16/log4$
$= x \cdot \frac{{log 4}^{2}}{log 4} = 2 x \cdot \frac{log 4}{log 4} = 2 x \cdot 1 = 2 x .$ $=x*log4^2/log4=2x*log4/log4=2x*1=2x.$ (answer).

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How do you evaluate the expression ${log}_{4} (16^{x})$ $log_4(16^x)$ ?

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How do you evaluate the expression ${log}_{4} (16^{x})$ $log_4(16^x)$ ?