Question

Solve approx to 5th decimal place.
7^(2x+1) = 3^(x+2)

x= ?

Answer 1

Distribute 7 and 3 out.
14x+7 = 3x+6
Put the variable on one side of the equal sign and the constants on the other.
Ex: 11x = -1
x = -1/11
Use a calculator and round to appropriate decimal places.

Answer 2

this is incorrect the '^' indicates an exponent - not multiply
to solve this take logs
ln 7^(2x+1) = ln 3^(x+2)
(2x+1) ln 7 = (x+2) ln 3
(2x+1) / (x+2) = ln 3 / ln 7 = 0.564575
2x - 0.564575x = 2 * 0.564575 - 1
1.435425x = 0.12915
x = 0.08997 to 5 dec.places

Answer 3

Oops, sorry! I didn't read it carefully :(