If we expand the expression [tex]log_{10}[/tex] m⁴ n⁻², then we will get
4m-2n.
Given that the expression is [tex]log_{10}[/tex] m⁴ n⁻²
We are required to find the expansion value of the expression.
The change of base formula is basically the formula which will give us the answer of a log with a different base by using only log calculations with a base of 10.
The expression or function is [tex]log_{10}[/tex] m⁴ n⁻².
(We know that log mn=log m +log n)
So,
[tex]log_{10}[/tex] m⁴ n⁻² =4m-2n (log [tex]a^{b}[/tex]=b log a)
Hence if we expand the expression [tex]log_{10}[/tex] m⁴ n⁻², then we will get
4m-2n.
Learn more about change of base theorem at https://brainly.com/question/14998693
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