Just need a little guidance on a part of a question.

susu said:

1. Find the exact solution, using common logarithms, and a two-decimal-place approximation of each solution, when appropriate. of

3^(x+1)=2^(4-3x)

(x+1) * ln3 = (4-3x) * ln2

x* ln3 + ln3 = 4*ln2 - x*3*ln2

x*(ln3+3ln2) = 4*ln2 - ln3

x = (4*ln2 - ln3)/(ln3+3ln2) ................this is exact answer

I got x= -(ln(3)+ln(2))/(ln(3)+3ln(2))
and finding the exact value is what's throwing me off. i keep getting -1.21810429

2.Solve the equation without using a calculator.

log(x^4)=(log(x))^2

4* log(x) = [log(x)]²

[log(x)]² - 4* log(x) = 0

log(x) * [log(x) - 4] = 0

Now continue......


i got 1 as one of the answers but i'm not getting another value.

Thanks!

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