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Mathematics 17 Online
OpenStudy (anonymous):

log(x+1)=2

OpenStudy (anonymous):

Take Antilog both the sides, you will get: \[x + 1 = \log(2)\] Now find x.. \[\log_{10}(2) = 0.3010\]

OpenStudy (anonymous):

What's the base?

OpenStudy (anonymous):

I assume 10^

OpenStudy (anonymous):

I haven't learned about antilogs? I'm in pre-cal

OpenStudy (anonymous):

\[\log_{10}10^{x}=x\] Do you know the relation above?

OpenStudy (kropot72):

We are dealing with logs to base 10. Taking antilogs of both sides we get: x + 1 = 100 (The antilog of 2 is 100).

OpenStudy (kropot72):

So x = 100 - 1

OpenStudy (anonymous):

since you know for a fact that \[\log_ab=x\] is the same as writing (in exponent form) \[a^x=b\] \[\log (x+1)=2\] \[x+1=10^2\] \[x=10^2-1\] \[x=99\]

OpenStudy (anonymous):

NB: |dw:1368559689875:dw|

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