Unit 5 - Exponential & Logs Assessment

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

• log (12 + 2x)
• log (14x)
• log (12 * 2x)
• log (12x²)

Expand

• 6log₈v-2log₈u
• 6log₈u-2log₈v
• 3log₈u-2log₈v
• 6log₈u+2log₈v

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Convert log(x)=5 to exponential form

• 1⁵=x
• 10^x=5
• x⁵=10
• 10⁵=x

Convert log₈(x+2)=3 to exponential form.

• 8^(x+2)=3
• 3^(x+2)=8
• 8³=x+2
• 3⁸=x+2

Solve for x.
log_x(64)=3

• x=8
• x=4
• x=3
• x=64

Solve for x.
5^x = 1

• 0
• -1
• 2
• 1

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

• log (12 + 2x)

• log (14x)

• log (12 * 2x)

• log (12x²)

Solve each equation. Round your answers to the nearest ten-thousandth.

• 19.1474

• .9688

• .0971

• -9.0312