Find X in the Following When: Log X 49 = 2 - Mathematics

Find x in the following when: log _x 49 = 2

Sum

log _x 49 = 2
⇒ x² = 49
⇒ x² = 7²
∴ x = 7.

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Interchanging Logarithmic and Exponential Forms - Logarithmic to Exponential

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Chapter 10: Logarithms - Exercise 10.1

Chapter 10 Logarithms
Exercise 10.1 | Q 3.01

Express the following in the exponential form:
log_b a = c

Express the following in the exponential form:
q = log_a p

Find x in the following when: log ₈ x = `(2)/(3)`

Find x in the following when: log ₇ x = 3

Find x in the following when: log ₄ x = -4

Find x in the following when: log ₄ 0.0625 = x

Find the value of: log ₁₀ 1000

If log ₁₀ x = a, express the following in terms of x : 10 ^2a

If log ₁₀ x = a, log ₁₀ y = b and log ₁₀ z = 2a - 3b, express z in terms of x and y.

State true or false in the following:
If log ₁₀ 100 = 2, then 10² = 100