Find X in the Following When: Log 10 0.0001 = X

Find x in the following when: log ₁₀ 0.0001 = x

Sum

log ₁₀ 0.0001 = x
⇒ 0.0001 = 10^x
⇒ 10^x = 10^-4
∴ x = -4.

shaalaa.com

Interchanging Logarithmic and Exponential Forms - Logarithmic to Exponential

Is there an error in this question or solution?

Chapter 7: Logarithms - Exercise 10.1

Chapter 7 Logarithms
Exercise 10.1 | Q 3.09

Express the following in the exponential form:
log₂ 128 = 7

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

Express the following in the exponential form:

`"log"_2 (1)/(2)` = -1

Express the following in the exponential form:
`"log"_sqrt(3)` 27 = 6

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 ₄ x = -4

Find the value of: `"log" _(1/5) 125` = x

Find the value of: log _aa³

If log ₁₀ a = x, and log ₁₀ c = z, find
`10^(x-y+z)` in terms of a, b and c