How do you solve $4 {log}_{4} 7$ $4log_4 7$ ?

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How do you solve $4 {log}_{4} 7$ $4log_4 7$ ?

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Answer 1 · 2015-05-07T00:30:58

You can take the $4$ $4$ in front of the $log$ $log$ "inside" it as:
${log}_{4} {(7)}^{4} =$ $log_4(7)^4=$
${log}_{4} (2401) =$ $log_(4)(2401)=$
You can change base to use natural logarithms, that can be evaluated using a pocket calculator, as:
${log}_{4} (2401) = \frac{ln (2401)}{ln (4)} = 5.614$ $log_(4)(2401)=ln(2401)/ln(4)=5.614$

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How do you solve $4 {log}_{4} 7$ $4log_4 7$ ?

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