Question

5. Explain the properties of logarithms that you

would need to use to solve the following:
log₂2x + log₂4 = 5

Answer 1

x = 4

Explanation:

log a + log b = log ab

log(base b) x = y, then b^y = x

log₂2x + log₂4 = 5

log₂ (2x × 4) = 5

log₂ 8x = 5

8x = 2^5

8x = 32

x = 4