# Math 12 (Logs)

posted by .

Solve:
3^(2a+3)=7^(a-4)

• Math 12 (Logs) -

3^(2a+3) = 7^(a-4).
(2a+3)*Log3 = (a-4)*Log7.
Divide both sides by Log3:
2a+3 = 1.771(a-4).
2a+3 = 1.771a-7.085.
2a-1.77a = -7.085-3.
0.23a = -10.085.
a = -43.85.

## Similar Questions

1. ### solving for x math

2e^(4x^2)=3 how do i solve for x. do i use the ln methode because i don't know how to do that. by calculator, i got x=.168 but i don't know how to show my work. please help me solve for x. Take natural logs of both sides. ln 2 + 4 …
2. ### math

solve with logs 3^(1-2x)=4^(x)

4. ### Math

Logs are stacked up in apile as shown in the figure. The top row has 15 logs and the bottom row has 21 logs. How many logs are in the stack?
5. ### Exponents and Logs (Math)

Solve for x: 2^(-x+1) = 4(8^x) I try isolating the 4 but I can't seem to solve it correctly when using ln or log applications. The answer is supposed to be x=-1/4. Any help?
6. ### math - natural logs

Find the EXACT solution to e^(1-x) = 4^x You must use logs, not just a calculator.
7. ### math logs

solve 3^(2x+1) = 9^(2x-1) using base 3 logs
8. ### Physics

Raft made of 2.2m long pine logs.Average diameter of logs 26cm.How many logs are needed to strap together to build raft to hold max 4 people?
9. ### Physics

Raft made of 2.2m long pine logs.Average diameter of logs 26cm.How many logs are needed to strap together to build raft to hold max 4 ?
10. ### Physics

PART 1 Raft made of 2.2m long pine logs with Average diameter of logs 26cm.How many logs are needed to strap together to build raft to hold max 4 people?

More Similar Questions