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Mathematics 53 Online
OpenStudy (anonymous):

9=(sqrt3)^(4x+6)

OpenStudy (anonymous):

start with \[3^2=3^{\frac{1}{2}(4x+6)}\]

OpenStudy (anonymous):

meaning \[2=2x+6\] and solve for x

OpenStudy (anonymous):

x=3?

OpenStudy (anonymous):

that is not what i get

OpenStudy (anonymous):

can you solve \[2=2x+6\]? it should take two steps only

OpenStudy (anonymous):

-4

OpenStudy (anonymous):

damn i made a mistake hold on

OpenStudy (anonymous):

i mite be wrong

OpenStudy (anonymous):

should be \[2=2x+3\] so \[-1=2x\] \[x=-\frac{1}{2}\]

OpenStudy (anonymous):

can u explain the steps to slove in words

OpenStudy (anonymous):

starting where?

OpenStudy (anonymous):

like explain the stretegy used to solve this equation

OpenStudy (anonymous):

if you have \[9=\sqrt{3}^{4x+6}\] would look to rewrite so the base is the same

OpenStudy (anonymous):

the set up here is \[9=3^2\] and \[\sqrt{3}=3^{\frac{1}{2}}\]

OpenStudy (anonymous):

since the bases are now the same, that means the exponents must be the same, so \[2=\frac{1}{2}(4x+6)\] and now you have a linear equation to solve, which is a whole different problem, although a rather easy one in this case

OpenStudy (anonymous):

u can do it all in just words beause part of my assignment is to explain the process in compltet senetnces

OpenStudy (anonymous):

first distribute and get \[2=2x+3\] then subtract 3 from both sides to get \[-1=2x\] then divide by 2 and get \[x=-\frac{1}{2}\]

OpenStudy (anonymous):

thank u!

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