step 1 According to the question we solve, we have given term is 5 raised to power x is equal to 35. Wh

Question

Solve. $$5^{x}=35$$

Name: Problem 69, Chapter 11: Algebra and Trigonometry
Uploaded: 2020-07-09T09:58:27-08:00
Duration: 1 min 14 s
Channel: Ankit Gupta
Description: Solve. 5^x=35

   Solve. $$5^{x}=35$$

Algebra and Trigonometry

Judith A. Beecher,… 4th Edition

Chapter 11, Problem 69

Instant Answer

Solved by Expert Ankit Gupta

07/09/2020

Step 1

To solve for $x$, we can take the logarithm of both sides. This gives us: $$\log(5^{x})=\log(35)$$ Show more…

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Solve. $$5^{x}=35$$

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Key Concepts

Logarithm Properties

Properties of logarithms, such as the power rule (logb(a^c) = c · logb(a)), are crucial when solving exponential equations. They enable the exponent to be brought down as a coefficient, simplifying the process of isolating the variable.

Exponential Equations

Exponential equations are those in which the unknown variable appears in the exponent. Solving these equations typically involves rewriting the equation in a form that allows the variable to be isolated, often through the use of logarithms.

Logarithms

Logarithms are the inverse operations of exponentiation, which transform exponential equations into linear ones in terms of the unknown variable. This makes it possible to solve for variables that are contained in exponents.

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