Rewriting Logarithms Notes

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• A

• B

• C

• D

• log (xy³)
• log (x⁶ − y³)
• log (x⁶/y³)
• log (x⁶ + y³)

Write log_b(xy) as two logs

• log_bx+log_by

• log_bx-log_by

• log_bx*log_by

• log_bx/log_by

Use the properties of logarithms to retwrite

• A

• B

• C

• D

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• log₈x+log₈y+log₈z

• 5log₈x+5log₈y+5log₈z

• log₈xy+5log₈z

• log₈x+log₈y+5log₈z

Condense

• log₈(a¹⁸/b³)

• log₈(a¹⁸b³)

• log₈(a/b³)

• 15log₈(a/b³)

Expand the following logarithm: 
log₂ 5x.

• log₂ 5 - log₂ x 

• log₂ 5 + log₂ x 

• 2log 5 + 2log x

• log5 2 + log_x 2

• 6log₈(xyz)
• log₈(x) - log₈(y) - 6log₈(z)
• log₈(x) + log₈(y) - log₈(z)
• log₈(x) + log₈(y) + 6log₈(z)

Write as a single log: log 12 + 2 log x

• log (12 + 2x)

• log (14x)

• log (12 * 2x)

• log (12x²)

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• 6log₈v-2log₈u

• 6log₈u-2log₈v

• 3log₈u-2log₈v

• 6log₈u+2log₈v