Question

Find the value of the following logarithmic expressions (a) log2 32 = Answer (b) log9 729 = Answer (c) log5 5 = Answer

Answer 1

I hope it will help you

Answer 2

$\log_2 32$

Rewrite 32 as 2 to the power of 5:

$= \log_2 (2)^5$

Apply loga (b)^n = nloga (b):

$= 5\log_2 2$

apply logx (x) = 1:

$= 5(1)$

Multiply:

$= 5$

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$\log_9 729$

Rewrite 729 as 9 to the power of 3:

$\log_9 (9)^3$

Apply loga (b)^n = nloga (b):

$=3\log_9 (9)$

apply logx (x) = 1:

$= 3$

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$\log_5 5$

apply logx (x)  = 1:

$= 1$