Solve 3^x−5 = 9. (3 points) Select one: a. x = −3 b. x = 2 c. x = 7 d. x = 8

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11-04-2019
Mathematics

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Solve 3^x−5 = 9. (3 points) Select one: a. x = −3 b. x = 2 c. x = 7 d. x = 8

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kudzordzifrancis kudzordzifrancis · Answer 1 · 2019-04-20T22:38:02+02:00

kudzordzifrancis kudzordzifrancis

20-04-2019

ANSWER

C. x=7

EXPLANATION

The given exponential equation is

[tex] {3}^{x - 5} = 9[/tex]

We rewrite the right hand side as 3 raised to exponent 2.

[tex] {3}^{x - 5} = {3}^{2} [/tex]

Observe that the base of both sides of the equation are equal.

We now equate the exponents.

[tex]x - 5 = 2[/tex]

Solve for x,

[tex]x = 2 + 5[/tex]

[tex]x = 7[/tex]

The correct choice is C.

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