Mattwatson08
Solve log3x+log9=0. round to nearest hundredth if necessary
a..33
b..04
c.3
d.27
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freckles
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\[\log(3x)+\log(9)=0 ?\]
Mattwatson08
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how do i solve
freckles
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If that is the right expression use that property I mentioned earlier
log(a)+log(b)=log(ab)
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log(3x)+log(9)=log(3x*9)=log(27x)
So you need to solve the following for x:
log(27x)=0
Mattwatson08
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so multiply log(3*9)
freckles
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Yes but you missed the x inside there
log(27x)=0
when x= what?
freckles
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I assume the base is 10
so we have
\[\log_{10}(27x)=0\]
Do you know how to solve for x?
do 10^ on both sides
Mattwatson08
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freckles
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\[10^{\log _{10}(27x)}=10^0\]
\[27x=1\]
Can you finish this ?
Mattwatson08
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yea
freckles
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cool! :)