Find X in the Following When: Log 2 0.5 = X

Find x in the following when: log ₂ 0.5 = x

Sum

log ₂ 0.5 = x
⇒ 2^x = 0.5 = `(1)/(2)`
⇒ 2^x= 2^-1
∴ x = -1.

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Interchanging Logarithmic and Exponential Forms - Logarithmic to Exponential

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Chapter 7: Logarithms - Exercise 10.1

Chapter 7 Logarithms
Exercise 10.1 | Q 3.07

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

Express the following in the exponential form:

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

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

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

Find the value of: log ₅ 3125

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

Find the value of: log _0.0110

Find the value of: log _aa³

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

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