State, True Or False : If Log10 X = A, Then 10x = A. - Mathematics

State, true or false : If log₁₀ x = a, then 10^x = a.

Sum

Consider the equation
log₁₀x = a
⇒ 10^a = x
Thus the statement, 10^x = a 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 5.1 | 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

Find the logarithm of : 0.001 to the base 10

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

State, true or false : log₂ 8 = 3 and log₈ = 2 = `1/3`

Find x, if : log₄32 = x - 4

Find x, if : log₇ (2x² - 1) = 2

Given log₂x = m. Express 2^{m - 3} in terms of x.

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