Find X, If : Log5 (X - 7) = 1

Find x, if : log₅ (x - 7) = 1

Sum

Consider the equation
log₅ (x - 7) = 1
⇒ 5¹ = x - 7
⇒ 5 = x - 7
⇒ x = 5 + 7
⇒ x = 12

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Interchanging Logarithmic and Exponential Forms

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Chapter 8: Logarithms - Exercise 8 (A) [Page 103]

Chapter 8 Logarithms
Exercise 8 (A) | Q 6.4 | Page 103

Express the following in exponential form : log₁₀1 = 0

Find the logarithm of : 0.1 to the base 10

Find the logarithm of : 0.001 to the base 10

Find x, if : log₄32 = x - 4

Find x, if : log₇ (2x² - 1) = 2

Evaluate : log_0.5 16

If log_am = n, express a^{n - 1} in terms of a and m.

Given log₂x = m. Express 2^{m - 3} in terms of x.

Given log₅y = n. Express 5^{3n + 2} in terms of y.

State true or false in the following:
If log ₂ 8 = 3, then log ₈ 2 = `(1)/(3)`