Mathematics: (Evaluate each logarithm. Use the change of base formula when necessary) helpppp y’all

(Evaluate each logarithm. Use the change of base

Ответ:

oomale

20.01.2022

Mathematics

The value of $\log _{6}(36)$ is 2.

Solution:

Given expression is $\log _{6}(36)$ .

To evaluate the expression:

$\log _{6}(36)$

36 can be written as 6².

$=\log _{6}\left(6^{2}\right)$

Using log rule: $\log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x)$

$=2 \log _{6}(6)$

Using log rule: $\log _{a}(a)=1$ so that $\log _{6}(6)=1$

= 2(1)

= 2

$\log _{6}(36)=2$

Hence the value of $\log _{6}(36)$ is 2.

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Ответ:

stinematesa

25.06.2021

Mathematics

you can simplify rations just like you simplify fractions. Whenever you are able to evenly divide both parts of the ratio with out changing the equation's answer, you are able to.

for example

if it were 3:6, you can simplify this by dividing these both by 3, leaving you with 1:2.

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(Evaluate each logarithm. Use the change of base formula when necessary) helpppp y’all

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