how do you solve the common logarithm equation 15^x^2=110? (the x is raised to the 2 power)

I'm having trouble solving this common logarithm equation because I don't know how to do the power raised to a power.
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15^x^2=110. Take logs: x^2log15=log110, so x^2=log110/log15=1.7357, so x=sqrt(1.7357)=1.3175 approx.
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