Question

Solve for x
3^x+4=9
3 to the power of x plus 4 is equal to 9

Answer 1

3^x + 4 = 9
Subtract 4 from both sides:
3^x = 5
Now, take the logarithm base 3 of both sides:
x = log(5)/log(3)
If you solve for x, you should end up with approximately 1.4650

Answer 2

`3^(x) + 4 = 9 \\3^(x) = 5 \\ln(3^(x)) = ln(5) \\xln(3) = ln(5) \\(xln(3))/(ln(3)) = (ln(5))/(ln(3)) \\x = (ln(5))/(ln(3))`

or


`3^(x + 4) = 9 \\ln(3^(x + 4)) = ln(9) \\(x + 4)ln(3) = ln(9) \\((x + 4)ln(3))/(ln(3)) = (ln(9))/(ln(3)) \\x + 4 = (ln(3^(2)))/(ln(3)) \\x + 4 = (2ln(3))/(ln(3)) \\x + 4 = 2 \\x = -2`