Solve for x: `5.5^x=60`
`ln(5.5^x) = ln(60)`
The left-hand side of the equation is equal to the exponent of the logarithm argument because the base of the logarithm equals the base of the argument.
Simplify the left-hand side of the equation.
Divide each term in the equation by `1.7047` .
`(1.7047x)/(1.7047) = (ln(60))/(1.7047)`
Simplify the left-hand side of the equation by canceling the common factors.
`x = (ln(60))/(1.7047)`
Simplify the equation.
The equation `(5.5)^x = 60` has to be solved for x.
`(5.5)^x = 60`
Take the logarithm to base 10 of both the sides.
`log((5.5)^x) = log 60`
Use the property of logarithm `log a^b = b*log a`
=> `x*log 5.5 = log 60`
=> `x = (log 60)/(log 5.5)`
Substituting the values for log 60 and log 5.5 gives
`x ~~ 2.4017`
The solution of the equation is `x = (log 60)/(log 5.5) ~~ 2.4017`