Logarithms 8^4x =135?

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Answer 1 · 2018-03-01T00:02:41

I got #x=0.5897#

Given:
#8^(4x)=135#

we can take the natural logarithm of both sides:

#ln(8^(4x))=ln(135)#

use one property of logs to get:

#4xln(8)=ln(135)#

rearrange:
#x=1/4*ln(135)/ln(8)#

we can now evaluate the logs (using a pocket calculator) and get:

#x=0.5897#