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which logarithmic equation correctly rewrites this exponential equation? 8x = 64 a. log8 64 = x b. log8 x = 64 c. log64 8 = x d. logx 64 = 8

Sagot :

The logarithmic equation of the given exponential function is , [tex]\rm log_864=x[/tex].

What is a logarithmic function?

The logarithmic function is given as the inverse of the exponential function.

It is given as:

[tex]\rm Exponential\;function\rightarrow y=a^x\\Logarithmic\;function\rightarrow log_xy=a[/tex]

The logarithmic function of the given exponential equation is given as:

[tex]\rm y=a^x\\\\8^x=64\\log\;on \;both\;sides\\log_864=x[/tex]

Thus, the logarithmic equation is, [tex]\rm log_864=x[/tex]. Hence, option A is correct.

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