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Mathematics 24 Online
OpenStudy (anonymous):

Help!! Medal

OpenStudy (anonymous):

\[3xLog(2)=x+1Log(2)\]

OpenStudy (anonymous):

@directrix

OpenStudy (anonymous):

@TheSmartOne

OpenStudy (anonymous):

I want to know how to do this.

OpenStudy (anonymous):

any idea how to do it?

OpenStudy (anonymous):

@Kainui @shrutipande9

OpenStudy (kainui):

Well first, what's the base of the logarithm?

OpenStudy (anonymous):

base 10

OpenStudy (kainui):

There are 2 main methods to approach this problem, one would be to raise both sides of the equation as exponents on the base and use exponent and log rules to sort them out. The other way would be to rewrite the part with x with a fancy form of 1 \[\large x*1 = x \log_{10}(10)\] then use exponents to combine everything and start solving from there, this might be harder if you're not used to thinking with logarithms.

OpenStudy (anonymous):

I got rid of the exponent with the power property. I don't know what to do next

Directrix (directrix):

@K_V8 Solve this for x. Then, there is still some tidying up to do to get the polished form of the exact answer. If you are solving for an approximate value of x, then the polishing will not be needed. |dw:1421343921506:dw|

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