Logarithms and Exponentials Review

The common logarithm has what base?

• 10

• 0

• e

• -e

Rewrite log_b(xⁿ)

• nlog_bx

• (log_bx)ⁿ

• xⁿlog_bx

• log_b(xⁿ)

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

• log (12 + 2x)

• log (14x)

• log (12 * 2x)

• log (12x²)

Evaluate log_b(b)

• -1

• 0

• 1

• b

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

• .5573

• 5.5732

• -.5573

• 55.7321

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

• 19.1474

• .9688

• .0971

• -9.0312

log₂(x+3)=4

• 16

• 13

• 3

• 10

Solve 3³ = 3^{4x + 2}

• x = ¼

• x = -¼

• x = ½

• x = -½

To solve 8 = 2^5x+7, you would need to re-write 8 as what base?

• 8

• 4

• 2

• Cannot be determined

Solve: 2^x = 4^x+1

• x = -2

• x = 2

• x = -3

• x = 3