## THIS USER ASKED 👇

**1) write the expression as a single logarithm log3 40 – log3 10 show work. 2) solve the exponential equation 1/16 =64^[4x-3]**

## THIS IS THE BEST ANSWER 👇

1) The expression log3 (40) – log3 (10) can be simplified. Subtracting logs with the same core values, in this case 3, you can simplify the expression by dividing the species within each hollow.

log3 (40) – log3 (10)

log3 (40/10)

log3 (4) = simplified expression

2) To solve the exponential equation 1/16 = 64 ^ (4x-3) we can first simplify things. 16 = 4², and 64 = 4³.

1 / 4² = 4³⁽⁴ˣ⁻³⁾

4⁻² = 4³⁽⁴ˣ⁻³⁾

At this stage since the bases are flat, the exhibitors must also be equal.

-2 = 3 (4x-3)

-2/3 = 4x – 3

4x = 7/3

x = 7/12