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Which expression results when the change of base formula is applied to log Subscript 4 Baseline (x 2)?.

Sagot :

The expression results when the change of base formula is [tex]\rm \dfrac{log(x+2)}{log4}[/tex].

We have to determine

Which expression results when the change of base formula is applied to log Subscript 4 Baseline (x + 2)?

What is logarithmic property?

The logarithm of a product as a sum of logarithms, the log of the quotient as a difference of log, and log of power as a product.

The base change formula is;

[tex]\rm loga_x= \dfrac{log_bx }{log_ba}\\\\[/tex]

The expression results when the change of base formula is applied to log Subscript 4 Baseline (x + 2) is;

[tex]\rm = log_4(x+2)\\\\=\dfrac{log(x+2)}{log4}[/tex]

Hence, the expression results when the change of base formula is [tex]\rm \dfrac{log(x+2)}{log4}[/tex].

To know more about base property click the link given below.

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