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soccergal12
 2 years ago
solve the following: 10^(2x3) = 0.01
soccergal12
 2 years ago
solve the following: 10^(2x3) = 0.01

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klimenkov
 2 years ago
Best ResponseYou've already chosen the best response.2If \(a^x=b^x\), then \(a=b\). And use \(0.01=\frac1 {100}=\frac1{10^2}=10^{2}\).

klimenkov
 2 years ago
Best ResponseYou've already chosen the best response.2Oops. Really you need is that if \(a^x=a^y\) then \(x=y\).

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.2Use what @klimenkov said above. \[10^{2x  3} = 0.01\]\[10^{2x  3} = \frac{1}{100}\]\[10^{2x  3} = \frac{1}{10^{2}}\]\[10^{2x  3} = 10^{2}\]\[2x  3 = 2\]Solve for x now.

klimenkov
 2 years ago
Best ResponseYou've already chosen the best response.2The very first statement is false. Forget it, because if \(2^2=(2)^2\), but \(2\ne2\).

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.2What do you mean? I'm not quite following.

klimenkov
 2 years ago
Best ResponseYou've already chosen the best response.2I said that mine statement was false.

soccergal12
 2 years ago
Best ResponseYou've already chosen the best response.0i'm sorry. which statement was false?

soccergal12
 2 years ago
Best ResponseYou've already chosen the best response.0would the answer be x = 1/2

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.2I am so late...but you are correct :)
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