3/27: Log Properties warm up

Front

Write the expression as a single logarithm: log 6 - log 3 + 2 log 7

Back

log 98

Front

Write log_b(x/y) as two logs

Back

log_b(x) - log_b(y)

Front

Condense the expression: log_b(x) + log_b(y)

Back

log_b(xy)

Front

Rewrite log_b(x^n)

Back

n log_b(x)

Front

Write log_b(xy) as two logs

Back

log_b(x) + log_b(y)

Front

What is the property of logarithms that states log_b(m) - log_b(n) = log_b(m/n)?

Back

This is the Quotient Rule of Logarithms.

Front

What is the property of logarithms that states log_b(m) + log_b(n) = log_b(mn)?

Back

This is the Product Rule of Logarithms.

Front

What is the property of logarithms that states log_b(m^n) = n log_b(m)?

Back

This is the Power Rule of Logarithms.

Front

If log_b(5) = 2, what is b?

Back

b = 25 (since b^2 = 5)