Question

Which expression results when the change of base formula is applied to log subscript 4 baseline (x 2)? startfraction log (x 2) over log 4 endfraction startfraction log 4 over log (x 2) endfraction startfraction log 4 over log x 2 endfraction startfraction log x 2 over log 4 endfraction

Answer 1

When the change of base formula is applied to log subscript 4 baseline (x+2), the result is $\dfrac{log(x+2)}{log4}$.

What are the Properties of logarithms?

There are four basic properties of logarithms:

$\rm log_aU+ log_aV = log_a(UV)\\\\log_aU - log_aV = log_a(\dfrac{U}{V})\\\\log_aU^n = n\ log_aU\\\\\log_ab = \dfrac{log_xb}{log_xa}$

When the change of base formula is applied to log subscript 4 baseline (x 2), the result expression will be,

$\rm log_4(x+2)=\dfrac{log_{10}(x+2)}{log_{10}4}=\dfrac{log(x+2)}{log4}$

Hence, when the change of base formula is applied to log subscript 4 baseline (x+2), the result is $\dfrac{log(x+2)}{log4}$.

Learn more about Logarithms:

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Answer 2

Answer:

a - StartFraction log (x + 2) Over log 4 EndFraction

Step-by-step explanation:

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