log10^2 +16log10^16/25+12log10^25/24+7log10^81/80+log10^25/49+2log10^7 =?
the ans=2log5+1
@TuringTest plzz help
try moving all factors of logs to exponents, then exponentiate and simplify?
I will work it this way and see where it takes me. :)
i did but not getting dude plzz can u show me
When I work it through, I will.
\[log10^2 +16log10^{\frac{16}{25}}+12log10^{\frac{25}{24}}+7log10^{\frac{81}{80}}+log10^{\frac{25}{49}}+2log10^7 \] Is this the question?
yes
is it log base 10 of 10^apower
but the ans=2log5 + 1
\[log10 =1\]\[logx^a= alogx\] \[log10^2 +16log10^{\frac{16}{25}}+12log10^{\frac{25}{24}}+7log10^{\frac{81}{80}}+log10^{\frac{25}{49}}+2log10^7 \]\[=2log10 +16(\frac{16}{25})log10+12(\frac{25}{24})log10+7(\frac{81}{80})log10+(\frac{25}{49})log10+2(7)log10 \]\[=2 +16(\frac{16}{25})+12(\frac{25}{24})+7(\frac{81}{80})+(\frac{25}{49})+2(7) \] \[Can \ you \ do \ it ? \]
then the answer wont be 2log5 +1
Oh... then either the question you posted is incorrect, or the answer you've looked at is incorrect...
oh........ it is log 2 to the base 10 and ............go o n all other too
._. That's totally different......
\[log_{10}2?\]
yaa
\[log_{10}2 = log2\]
I am at 10^x=2+(16/25)^16+(25/24)^12+(81/80)^7+25/49+7^2 have you tried this approach yet?
how log10^2=log2
log is assumed base ten unless otherwise specified.
Wait is it \[log10^2 \ or \ log_{10}2?\]
log with a base 10 is common log, usually, we omit the base 10... and write log 2 directly
or......... is the question
i am unable to write the equation it is not log 10 square the other one is the question
could you scan the problem and post it as image? just so we are all clear on the problem
\[log2^2 +16log2^\frac{16}{25}+12log2^\frac{25}{24}+7log2^\frac{81}{80}+log2^\frac{25}{49}+2log2^7 \]Is this the question?
log with a base 10 is common log, usually, we omit the base 10... and write log 2 directly this is correct
this is the question.
\[log2^2 +16log2^\frac{16}{25}+12log2^\frac{25}{24}+7log2^\frac{81}{80}+log2^\frac{25}{49}+2log2^7 \]\[=2log2 +16(\frac{16}{25})log2+12(\frac{25}{24})log2+7(\frac{81}{80})log2+(\frac{25}{49})log2+2(7)log2 \]\[=[2 +16(\frac{16}{25})+12(\frac{25}{24})+7(\frac{81}{80})+(\frac{25}{49})+2(7) ]log2 \]Can you simplify it first and tell me what you've got?
Anyway, It won't give the answer you provided lol
u got the question wrong
log10^2 the 10 is base and 2 is the exponent eg log2^8=3
now u got it.........
Is that my fault again? I've interpreted your question twice and every time you said they are correct.. Now you're telling me that I'm wrong..
It is \[log_28 = log_22^3 = 3log_22 = 3\]
You've never told us what exactly the question is..
Can you scan us the question? I don't want to interpret it again.. I've been typing similar things for twice..
ys this is the question
i will draw
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