Find X in the Following When: Log 7 X = 3

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

Sum

log ₇ x = 3
⇒ x = 7³
⇒ x = 343.

shaalaa.com

Interchanging Logarithmic and Exponential Forms - Logarithmic to Exponential

Is there an error in this question or solution?

Chapter 10: Logarithms - Exercise 10.1

Chapter 10 Logarithms
Exercise 10.1 | Q 3.05

Express the following in the exponential form:
log₁₀ 0.001 = -3

Express the following in the exponential form:
log₅ a = 3

Find the value of: log ₁₀ 1000

Find the value of: log ₅ 3125

Find the value of: log _aa³

If log ₁₀ m = n, express the following in terms of m: 10 ^-3n

If log ₁₀ x = p, express the following in terms of x: 10^2p-3

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

If Iog ₁₀a = x, log₁₀ b = y and log ₁₀ c = z, find
10^{3y -1} in terms of b

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