Rewriting Log and Exponential Equations

Rewrite log_b(xⁿ)

• nlog_bx

• (log_bx)ⁿ

• xⁿlog_bx

• log_b(xⁿ)

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Expand the following logarithm: 
log₂ 5x.

• log₂ 5 - log₂ x 

• log₂ 5 + log₂ x 

• 2log 5 + 2log x

• log5 2 + log_x 2

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

• log (12 + 2x)

• log (14x)

• log (12 * 2x)

• log (12x²)

Simplify: 2log(x) + 3log(xy)

• log(x⁵y³)

• log(5xy)

• 5log(x²y)

• log(6x²y)

ln(wvu⁵) ln(u + v + w⁵) ln(uvw⁵) ln(uvw)⁵

• ln(wvu⁵)

• ln(u + v + w⁵)

• ln(uvw⁵)

• ln(uvw)⁵

Condense: log16 + log2 - log8

• log4

• log8

• log10

• log24

log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4