SOLUTION: The logarithm has a base of 2, the equation is: log0.35=x What is x? Can I log both sides then divide log0.35/log2 to find x?

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Question 934310: The logarithm has a base of 2, the equation is:
log0.35=x
What is x?
Can I log both sides then divide log0.35/log2 to find x?
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
The Change Of Base Formula.

log%282%2C0.35%29=x

x=log%2810%2C0.35%29%2Flog%2810%2C2%29, according to the Change Of Base Formula. Notice carefully, that a base of ten was chosen, but you could instead choose base e, or any base for which you have the logarithm values. Usually ten or e are the desired choices.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+log%28+2%2C+.35+%29+=+x+
Rewrite it in exponential form
+2%5Ex+=+.35+
Now you can take the log to base +10+
of both sides
+x%2A+log%28+2+%29+=+log%28+.35+%29+
Use your calculator:
+.30103x+=+-.45593+
+x+=+-.45593+%2F+.30103+
+x+=+-+1.51457+