MATH SOLVE

3 months ago

Q:
# Which equation is equivalent to log4 + log(x + 2) = 1?x - 2 = 1014x + 8 = 1014x + 8 = 14/x+2=10^1

Accepted Solution

A:

We have the following expression:

log4 + log (x + 2) = 1

By properties of logarithm we can rewrite the expression as:

log (4 * (x + 2)) = 1

Then, Rewriting we have:

10 ^ (log (4 * (x + 2))) = 10 ^ 1

4 * (x + 2) = 10 ^ 1

Rewriting:

4x + 8 = 10 ^ 1

Answer:

The equivalent expression is:

4x + 8 = 10 ^ 1

log4 + log (x + 2) = 1

By properties of logarithm we can rewrite the expression as:

log (4 * (x + 2)) = 1

Then, Rewriting we have:

10 ^ (log (4 * (x + 2))) = 10 ^ 1

4 * (x + 2) = 10 ^ 1

Rewriting:

4x + 8 = 10 ^ 1

Answer:

The equivalent expression is:

4x + 8 = 10 ^ 1