A community for students.
Here's the question you clicked on:
 0 viewing
soccergal12
 3 years ago
solve the following: 10^(2x3) = 0.01
soccergal12
 3 years ago
solve the following: 10^(2x3) = 0.01

This Question is Closed

klimenkov
 3 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
 3 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
 3 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
 3 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
 3 years ago
Best ResponseYou've already chosen the best response.2What do you mean? I'm not quite following.

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

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

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

Calcmathlete
 3 years ago
Best ResponseYou've already chosen the best response.2I am so late...but you are correct :)
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.