A Nice Olympiad Logarithm Math Simplification||Find the value of X

A Nice Olympiad Logarithm Math Simplification||Find the value of X
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A Nice Olympiad Logarithm Math
Simplification
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[@Nikioko]

5^x + 5^x = 90
2 · 5^x = 90
5^x = 45
x · lg(5) = lg(45)
x = lg(45) / lg(5)
x = log₅45
x = log₅(5 · 9)
x = log₅5 + log₅9
x = 1 + log₅3²
x = 1 + 2 · log₅3

[@peterk.5419]

x = 45 log / 5 log