SOLUTION: Evaluate using the change of base formula. Round to 3 decimal places. log3 3.5

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Question 110375: Evaluate using the change of base formula. Round to 3 decimal places.
log3 3.5

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
log3%28+3.5%29 ........the argument is 3.5and the base is 3
Plug them into change-of-base formula;
logb%28x%29+=+logd%28x%29%2Flogd%28b%29
I will use the natural log
log3%28+3.5%29=ln%283.5%29%2Fln%283%29+
log3%28+3.5%29=ln%283.5%29%2Fln%283%29+
log3%28+3.5%29=0.54406804435%2F+0.47712125472++
log3%28+3.5%29=1.1403139955885803468654996246653

Then the answer, rounded to three decimal places, is:
log3%28+3.5%29=1.140