Condensing and Expanding Logs

Expand

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

Condense

• logxyz³
• log(xy/z³)
• logx+logy+logz³
• logx³y³z³

Expand

• log₈x+log₈y+log₈z
• 5log₈x+5log₈y+5log₈z
• log₈xy+5log₈z
• log₈x+log₈y+5log₈z

Condense

• log₈(x⁶)/log₈(y³)
• log₈(x⁶/y³)
• log₈(x/y³)
• log₈(x⁶y³)

Condense

• log₈(a¹⁸/b³)
• log₈(a¹⁸b³)
• log₈(a/b³)
• 15log₈(a/b³)

Expand

• 5log₅a - 6log₅b
• 5log₅a - 30log₅b
• 5log₅a + 30log₅b
• 30log₅b - 5log₅a