Grade 12

Simplify expressions using log properties

Lesson

Practice

Interactive practice questions

Simplify each of the following expressions without using a calculator. Leave answers in exact form.

$\log4+\log9$log4+log9

$\log_{10}\left(10\right)+\log_{10}\left(10\right)$log10(10)+log10(10)

Easy

1min

Simplify each of the following expressions without using a calculator. Leave answers in exact form.

Easy

1min

Simplify each of the following expressions without using a calculator. Leave answers in exact form.

Easy

1min

Simplify each of the following expressions without using a calculator. Leave answers in exact form.

Easy

2min

Outcomes

12F.A.1.1

Recognize the logarithm of a number to a given base as the exponent to which the base must be raised to get the number, recognize the operation of finding the logarithm to be the inverse operation (i.e., the undoing or reversing) of exponentiation, and evaluate simple logarithmic expressions

12F.A.1.4

Make connections between the laws of exponents and the laws of logarithms [e.g., use the statement 10^(a+b) = 10^a 10^b to deduce that log_10(x) + log_10(y) = log (xy)], verify the laws of logarithms with or without technology

12F.A.3.1

Recognize equivalent algebraic expressions involving logarithms and exponents, and simplify expressions of these types

Simplify expressions using log properties

Interactive practice questions

Outcomes

12F.A.1.1

12F.A.1.4

12F.A.3.1

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