Tyler applied the change of base formula to a logarithmic expression. The resulting expression is shown below. StartFraction log one-fourth Over log 12 EndFraction Which expression could be Tyler’s original expression? Log Subscript one-fourth Baseline 12 Log Subscript 12 Baseline One-fourth 12 Log one-fourth One-fourth log 12.

Question

contestada

Respuesta :

swapnalimalwadeVT swapnalimalwadeVT · Answer 1 · 2022-03-03T09:57:44+01:00

The answer is,

[tex]log_{12}(\frac{1}{4})=\frac{log1/4}{log12}[/tex]

We have given,

[tex]log_{12}(\frac{1}{4})[/tex]

We use the lows of logarithm for an given expression

Which logarithm expression we use here?

[tex]log_{x}(y)[/tex],

Here x is the base and y is the number,

Therefore we have to apply the change of base formula to a logarithmic expression.

So we get,

[tex]\frac{logy}{logx}[/tex]

Here, the base of log is 10

So by using above formula we have,

[tex]log_{12}(\frac{1}{4})=\frac{log1/4}{log12}[/tex]

Therefore we get,

[tex]log_{12}(\frac{1}{4})=\frac{log1/4}{log12}[/tex]

To learn more about logarithm expression visit:

https://brainly.com/question/12789228