Resposta:
[tex]\textsf{Leia abaixo}[/tex]
Explicação passo a passo:
[tex]\mathsf{5^x = 225}[/tex]
[tex]\mathsf{5^x = 25.9}[/tex]
[tex]\mathsf{5^x = 5^2.9}[/tex]
[tex]\mathsf{\dfrac{5^x}{5^2} = 9}[/tex]
[tex]\mathsf{5^{x - 2} = 9}[/tex]
[tex]\mathsf{log\:5^{x - 2} = log\:9}[/tex]
[tex]\mathsf{(x - 2)\:log\:5 = log\:9}[/tex]
[tex]\mathsf{x - 2 = \dfrac{log\:9}{log\:5}}[/tex]
[tex]\mathsf{x = \dfrac{log\:9}{log\:5} + 2}[/tex]
[tex]\boxed{\boxed{\mathsf{x = 3,36521238897197}}}[/tex]
