Respuesta :

Ansswer: 3.80

Explanation

1) Given equation: 0.58 = ㏒ x

2) Raise each side of the equation as the power of the base of the logarithm (which is 10):

 [tex]10^{log x}=10^{0.58}[/tex]

3) Use the property

[tex]z=a^{log_az}[/tex]

which implies that

[tex]x = 10^{logx}[/tex]

4) Therefore

[tex] 10^{0.58} =x[/tex]

5) Now find [tex]10^{0.58} [/tex] with a calculator and you get:

x = 3.80189; which rounded to nearest hundreth is 3.80, and that is the answer.