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Chapter 5: Q 7. (page 297)

Say True or false: If $y = \log_{a} x$ , then $y = a^{x}$

Short Answer

Expert verified

The given statement is false.

Step by step solution

01

Step 1. Given information

The given function is $y = \log_{a} x$

02

Step 2. Logarithm transformation

Omitting logarithm, we have,

$x = a^{y}$

03

Step 3. Checking statement

Now, $x = a^{y}$ is not equal to $y = a^{x}$ .
Hence, the statement is false

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Most popular questions from this chapter

If $f (x) = 2 x^{2} + 5$ and $g (x) = 3 x + a$ , find $a$ so that the graph of $f \circ g$ crosses the y-axis at 23.

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the function f is one-to-one. Find its inverse and check your answer.

$f (x) = \frac{x^{2} - 4}{2 x^{2}} x > 0$

If $f (x) = a^{x}$ , show that $f (- x) = \frac{1}{f (x)}$ .

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See all solutions

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