Question

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match the logarithmic functions with their corresponding x-values

Answer 1

Answer with explanation:

We know that:

if $log_a x=b\\\\Then,\\\\x=a^b$

1)

$log_2 x=5$

Then  by using the above property of logarithmic function we have:

$x=2^5\\\\i.e.\\\\x=32$

2)

$log_{10} x=3$

Then  by using the above property of logarithmic function we have:

$x=(10)^3\\\\i.e.\\\\x=1000$

3)

$log_4 x=2$

Then  by using the above property of logarithmic function we have:

$x=4^2\\\\i.e.\\\\x=16$

4)

$log_3 x=1$

Then  by using the above property of logarithmic function we have:

$x=3^1\\\\i.e.\\\\x=3$

5)

$log_5 x=4$

Then  by using the above property of logarithmic function we have:

$x=5^4\\\\i.e.\\\\x=625$