Question

Maria wrote the equation log (startfraction x over 2 endfraction) log (startfraction 20 over x squared endfraction) = log 8 what is the solution to maria’s equation?

Answer 1

The solution to maria’s equation $\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8$ by using the properties of the logarithm is 5/4.

What is a logarithm?

A logarithm is the exponentiation inverse function that can be expressed by the exponent or power to which a base must be raised to yield a number.

It is given that

$\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8$

Using properties of a logarithm, we get

$\rm log x + log y=logxy$

$\rm log[\frac{x}{2} \times\frac{20}{x^{2} }] = log8\\\rm log[\frac{10}{x}] = log8$

on comparing

10/x = 8

x = 10/8

x = 5/4

Hence, the solution to maria’s equation $\rm log\frac{x}{2} +log\frac{20}{x^{2} } = log8$ is 5/4.

Learn more about logarithm;

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