How do you solve $x = {log}_{4} 19.5$ $x=log_4 19.5$ ?

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Answer 1 · 2016-11-25T04:45:53

$x = 2.1427$ $x=2.1427$

Use the change of base formula:

${log}_{b} a = \frac{log a}{log b}$ $log_b a = loga/logb$

$x = {log}_{4} 19.5 = \frac{log 19.5}{log 4}$ $x=log_4 19.5 = log19.5/log4$

Then use a calculator.

$x = 2.1427$ $x=2.1427$

How do you solve x=log419.5x=log_4 19.5?