Solve the equation.54) 2 + log3(2x + 5) – log3 x = 4. If the reciprocal of the solution is written as a54)reduced fraction (where n and m are integers whose greatest commonfactor is 1), what is the value of m.

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Solve the equation. 54) 2 + log3(2x + 5) – log3 x = 4. If the reciprocal of the solution is written as a 54) reduced fraction m (where n and m are integers whose greatest common factor is 1), what is the value of m.

Solve the equation. 54) 2 + log3(2x + 5) – log3 x = 4. If the reciprocal of the solution is written as a 54) reduced fraction m (where n and m are integers whose greatest common factor is 1), what is the value of m.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 35E

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

Solve the equation.
54) 2 + log3(2x + 5) – log3 x = 4. If the reciprocal of the solution is written as a
54)
reduced fraction (where n and m are integers whose greatest common
factor is 1), what is the value of m.

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