If 100.48 = x, 100.70 = y and xz = y2 th - CUETMOCK

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If 10^0.48 = x, 10^0.70 = y and x^z = y² then the value of z is close to ?

Options:

1.45

2.9

1.88

3.7

Correct Answer:

2.9

Explanation:

x^z = y²

⇒ (10)^(0.48z) = (10)^{(2 × 0.70)} = (10)^1.4

⇒ 0.48z = 1.40

z = \(\frac{148}{48}\)

z = 2.9

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