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N76 [4]
3 years ago
13

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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