Ask Question
27 January, 14:55

How do you solve 9^x=3^40?

+3
Answers (2)
  1. 27 January, 15:20
    0
    Answer: x = 20

    Step-by-step explanation:

    Manipulate the bases so they are the same, then set the exponents equal to each other and solve for x:

    9ˣ = 3⁴⁰

    (3²) ˣ = 3⁴⁰

    3²ˣ = 3⁴⁰

    2x = 40

    x = 20
  2. 27 January, 15:24
    0
    We have 9 = 3^2;

    Then, 9^x = (3^2) ^x = 3^ (2x);

    We solve 3^ (2x) = 3^40;

    2x = 40;

    x = 20 : 2;

    x = 10;
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “How do you solve 9^x=3^40? ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers