First, let's rewrite the equation with the logarithms combined:5log5(x) - log5(x) = 18
Next, let's simplify the equation by combining the logarithms:4log5(x) = 18
Now, divide both sides by 4 to isolate the logarithm:log5(x) = 4.5
To remove the logarithm, rewrite the equation in exponential form:5^(4.5) = x
Calculate the value of x:x = 177.827
Therefore, the solution to the equation is x = 177.827.
First, let's rewrite the equation with the logarithms combined:
5log5(x) - log5(x) = 18
Next, let's simplify the equation by combining the logarithms:
4log5(x) = 18
Now, divide both sides by 4 to isolate the logarithm:
log5(x) = 4.5
To remove the logarithm, rewrite the equation in exponential form:
5^(4.5) = x
Calculate the value of x:
x = 177.827
Therefore, the solution to the equation is x = 177.827.