Logarithmic

Log basics

100

What is the value of $

/log_(10)100$

2

200

Evaluate $/log_2 8$

3

300

$/log_b b=?$

1

400

If $/log_5 x =3$ what is $x$

125

500

Express $x=10^y$ in logarithmic form 

$/log_(10)x=y$

log properties

100

This property states that the logarithm of a product is equal to the sum of the logarithms.

What is the product rule for logarithms?

Change base

100

This is the equivalent of $\log_2 25$ using common logarithms.

What is $\dfrac{\log 25}{\log 2}$?

Solving log equations

100

The solution to the equation:

\log_3(x + 4) = 2

What is $x = 5$?

Applications

100

The logarithmic scale used to measure the loudness of sounds.

What is the decibel scale?