State, True Or False : If Xy = Z, Then Y = Logzx .

State, true or false : If x^y = z, then y = log_zx .

Sum

Consider the equation
x^y = z
⇒ log_xz = y
Thus the statement, log_zx = y is false.

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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 5.2 | Page 103

Express the following in logarithmic form:

5³ = 125

Express the following in logarithmic form:

`3^-2 = 1/9`

Express the following in exponential form : log_aA = x

Express the following in exponential form : log₁₀1 = 0

Find the logarithm of : 100 to the base 10

Find the logarithm of : 0.125 to the base 2

Find the logarithm of : `1/81` to the base 27

Find x, if : log₄32 = x - 4

Solve for x:

log(x - 1) + log (x + 1) = log₂1

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