log_{8}60
I am trying to find the logarithm using the change of base formula log 8th power 6ohow do I put that in my scientific calculator and get the answer.
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2 Answers
log of 60 to the base 8 is the power to which 8 must be raised to give 60. We solve for x in
60=8^{x}. Taking logs on both sides, their base doesn't matter, we have
log(60)=xlog(8) or that x=log(60)/log(8)
log(60)=xlog(8) or that x=log(60)/log(8)
log 60 ln 60
log_{8} 60 = --------- = -------- ≈ 1.969
log 8 ln 8
↑ or ↑
base 10 base "e"
log 60 ≈ 1.77815125
log 8 ≈ 0.90309
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