Alg 2 - Unit 7 Review (2020-2021)

Solve

log₂(x + 5) = 3

• 3

• 4

• 5

• 6

Solve:
3^x-1 = 81

• 5
• 6
• 9
• 10

Change y = a^x into log form.

• x = log_ay

• y = log_ax

• x = log_ya

• y = log a

Rewrite log_vn = a in exponential form.

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v

Condense:

log₂6 + log₂3

• log₂18

• log₂2 = 1

• log₂3

• log₂9

Condense:

log 12 + 2⋅log x

• log (12 + 2x)

• log (14x)

• log (12 * 2x)

• log (12x²)

Solve the equation for x.

• 2.41

• x = 12

• x = 33.333

• x = 5.99

Using the change of base property, rewrite log₂31

• log(2) / log(31)

• log(2/31)

• log(31)/log(2)

• log(31/2)

Expand:   $\log\left(\frac{m^3}{n}\right)$  

• logm - log3 - logn

• 3logm + logn

• 3logm - logn

• 3log(m - n)

Expand:   $\ln\left(\frac{2x^2y}{z^4}\right)$  

• ln2 + 2lnx + lny + 4lnz

• ln2 + 2lnx + lny - 4lnz

• 2ln(2xy) - 4lnz

• 2ln2x + lny - 4lnz