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



This Question is Closed

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

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

Calcmathlete
Best Response
You've already chosen the best response.
2
Use 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
Best Response
You've already chosen the best response.
2
The very first statement is false. Forget it, because if \(2^2=(2)^2\), but \(2\ne2\).

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

klimenkov
Best Response
You've already chosen the best response.
2
I said that mine statement was false.

Calcmathlete
Best Response
You've already chosen the best response.
2
Oh ok.

soccergal12
Best Response
You've already chosen the best response.
0
i'm sorry. which statement was false?

soccergal12
Best Response
You've already chosen the best response.
0
would the answer be x = 1/2

theyatin
Best Response
You've already chosen the best response.
0
yup

soccergal12
Best Response
You've already chosen the best response.
0
Thanks!

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