How do you solve $log_x 16 = 4$ ?

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Answer 1 · 2018-06-08T06:47:14

$x=2$

$log_2 16=4 " "hArr" "2^4 =16$

Log form and index form are interchangeable.

$log_ab = c " "hArr" " a^c =b$

$log_x 16=4$ can be read as asking the question....

"What number, when raised to $4th$ power will give $16?$ "

In index form this means: $x^4 =16$

It really does help to know the first few powers of the numbers up to $10$ by heart.

The powers of $2$ are :

$1," "2," "4," "8," "color(blue)(16)," "32," "64," "128 ....$

This means $2^4 =16$ , which gives us the answer we need.

$x=2$

Answer 2 · 2018-06-08T06:48:28

$x = 2$

lets say that to put this into exponential form, we can make 4 = y and 16 = the answer.

$x^4 = 16$

$x = 2$

How do you solve log_x 16 = 4log_x 16 = 4?