Math Problem Statement

Use logarithms to solve the given equation. (Round the answer to four decimal places.) 7(1.014x + 1) = 9 x =

Solution

We are given the equation:

7(1.014x+1)=97(1.014^x + 1) = 9

Steps to solve using logarithms:

  1. Isolate the exponential term: [

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Math Problem Analysis

Mathematical Concepts

Algebra
Exponential Equations
Logarithms

Formulas

Exponential equation: a(b^x + c) = d
Logarithmic conversion: log_b(a) = x

Theorems

Logarithmic property: log_b(a) = x means b^x = a

Suitable Grade Level

Grades 9-12

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