3 years ago

Solve 3 ^ x + 6 = 3 ^ 4

Mathematics

1 answer:

aleksklad [387]3 years ago

8 0

Answer:

3.93 (approx.)

Step-by-step explanation:

3 ^ x + 6 = 3 ^ 4 can be rewritten as 3 ^ x = 3 ^ 4 - 6, or

3^x = 81 - 6 = 75.

Then 3^x = 75, or

x*ln 3 = ln 75

Solving for x:

x = (ln 75) / (ln 3) = 3.93 (approx.)

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