Solving exponential equations: 5.9 = 32 x 340^-e

[bromers]

Hi there, I am trying to understand how to solve a formula for an exponent variable.
I am trying to solve for e in the formula is 5.9 = 32 x 340^-e

 

[wjm11]

I am trying to solve for e in the formula is 5.9 = 32 x 340^-e

Divide both sides by 32, then take the log of each side:

5.9/32 = 340^(-e)
log(5.9/32) = log 340^(-e) = (-e)*log340

Now divide both sides by -log340:

e = -log(5.9/32)/(log340)

 

[bromers]

Thanks WJM

 

[Denis]

I am trying to solve for e in the formula is 5.9 = 32 x 340^-e

Next time, use * for multiplication:
5.9 = 32 * 340^-e or brackets: 5.9 = 32(340^-e)

RULE: if a^x = b, then x = log(b) / log(a)