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(a) 3 = log,(5x – 2) %3D (b) 1.2(1.33)((-2)/3) + 15 = 25 %3D (c) (2°y²) (yz-2)" 4. de (d) ()

(a) 3 = log,(5x – 2) %3D (b) 1.2(1.33)((-2)/3) + 15 = 25 %3D (c) (2°y²) (yz-2)" 4. de (d) ()

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
**Problem 7: [14 points]** For parts (a) & (b), solve for \( x \). For parts (c) & (d), simplify with variables listed no more than once, all positive exponents, and no fractional exponents or roots if possible. **Be sure to show your work.** **(a)** \( 3 = \log_4(5x - 2) \) **(b)** \( 1.2(1.33)^{(x - 2)/3} + 15 = 25 \) **(c)** \( (x^3 y^2) (yx^{-2})^4 \) **(d)** \( \left( \sqrt[3]{x^2} \right)^6 \)
Transcribed Image Text:**Problem 7: [14 points]** For parts (a) & (b), solve for \( x \). For parts (c) & (d), simplify with variables listed no more than once, all positive exponents, and no fractional exponents or roots if possible. **Be sure to show your work.** **(a)** \( 3 = \log_4(5x - 2) \) **(b)** \( 1.2(1.33)^{(x - 2)/3} + 15 = 25 \) **(c)** \( (x^3 y^2) (yx^{-2})^4 \) **(d)** \( \left( \sqrt[3]{x^2} \right)^6 \)
Expert Solution
Step 1

(a)

⇒log45x-2=3⇒5x-2=43    (As logax=b⇒x=ab)⇒5x-2=64⇒5x=66⇒x=665

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