Algebra and Trigonometry, 8th edition
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72

Step-by-step Answer
PAGE: 416SET: ExercisesPROBLEM: 72
Please look in your text book for this problem Statement

The exponential equation is .

Consider two functions as and .

Graph :

Draw a coordinate plane.

Graph the functions and in the same coordinate axis.

graph the exponential equation 5^x=212

Observe the above graph :

The two graphs intersects at a point .

Thus, the solution is .

Algebraic conformation :

The equation is .

Consider .

Rewrite the equation as below :

Apply formula: .

Apply change-of-base formula : .

.

Thus, the solutions is .

Graph of the equation is :

graph the exponential equation 5^x=212

The solution is .



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