Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\log_{5}(x+3)=\log_{5}=22$$

Answer

$$x=5^log(5)-3$$

Solution


Use Definition of Common Logarithm: \({b}^{a}=x\) if and only if \(log_b(x)=a\).
\[x+3={5}^{\log{5}}\]
Subtract \(3\) from both sides.
\[x={5}^{\log{5}}-3\]
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