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

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

योग

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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अध्याय 10: Logarithms - Exercise 10.1

अध्याय 10 Logarithms
Exercise 10.1 | Q 3.07

Express the following in the exponential form:

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

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

Find x in the following when: log _x 243 = 5

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

Find the value of `log_(1/2)16`.

Find the value of: log _0.0110

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

If log ₁₀ m = n, express the following in terms of m: 10 ²ⁿ⁺¹

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 p = q, then 10^p = q