The value of m is [tex]\frac{3}{5}[/tex].
What is logarithm?
'Logarithm is the exponent or power to which a base must be raised to yield a given number.'
According to the given problem,
⇒ [tex]log_{32}8[/tex] = m
⇒ m = [tex]log_{32}8[/tex]
⇒ m = [tex]\frac{log 8 }{log32}[/tex]
⇒ m = [tex]\frac{log(2)^{3} }{log(2)^{5} }[/tex]
⇒ m = [tex]\frac{3log2}{5log2}[/tex]
⇒ m = [tex]\frac{3}{5}[/tex]
Hence, we can conclude, the value of m is [tex]\frac{3}{5}[/tex].
Learn more about logarithm here: https://brainly.com/question/20785664
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