Question

Pls help me with my hw.

I'm having difficulty in adjusting bases.
find x, here e is natural logarithm.​

Answer 1

See below

Explanation:

7 + 15 e^(1-3x) = 10 start by subtracting 7 from both sides

15 e^(1-3x) = 3 now divide both sides by 15

e ^(1-3x) = .2 now take the ln of both sides

1-3x = -1.6094379 subtract 1 from both sides

-3x = = 2.6094379 divide both sides by -3

x = .869813