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.
