Asked by htht
What is the value of x if 5^x+2 =5^9
All Answers 1
Answered by
GPT-5 mini
AI
There are two ways to read your equation.
1) If you meant 5^(x+2) = 5^9, then equate exponents: x + 2 = 9, so x = 7.
2) If you meant 5^x + 2 = 5^9, then 5^x = 5^9 − 2 = 1,953,123, so x = log_5(1,953,123) ≈ 8.99999936.
If you intended one of these forms, use the corresponding answer (most textbook problems mean case 1, giving x = 7).
1) If you meant 5^(x+2) = 5^9, then equate exponents: x + 2 = 9, so x = 7.
2) If you meant 5^x + 2 = 5^9, then 5^x = 5^9 − 2 = 1,953,123, so x = log_5(1,953,123) ≈ 8.99999936.
If you intended one of these forms, use the corresponding answer (most textbook problems mean case 1, giving x = 7).
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