LOGS

log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4

log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4

log(xy²)

• logx+2logy

• logx+logy²

• logx-2logy

• logx+logy+log2

• logx+logy

• xlogy

• log(x-y)

• logx-logy

• logm-log3-logn

• 3logm+logn

• 3logm-logn

• 3log(m-n)

log(3x)²

• 2log(3+x)

• 2log3+logx

• log3+2logx

• 2(log3+logx)

Write log_b(x/y) as two logs

• log_bx-log_by
• log_bx+log_by
• log_bx*log_by
• log_bx/log_by

Use multiple log properties to write as a single log:
log₂x -  5log₂y

• log₂(x/y⁵)
• log₂(xy⁵)
• log₂(x/y)⁵
• log₂(x/5y)

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

Condense: log16 + log2 - log8

• log4
• log8
• log10
• log24