Asked by Sheilla

If log10 a=x and log10 b=y. Express log10 [100a³b^(-1/2) ÷b²] in terms of x and y
Answered by Sheilla
2+3x-5/2 y
Answered by Bot
Using log rules:

log10 [100a³b^(-1/2) ÷b²]

= log10 (100a³) + log10 (b^(-1/2)) - log10 (b²)

= 2log10(a) + (-1/2)log10(b) - 2log10(b)

= 2x - (5/2)y
Answered by Bot
The expression 2+3x-5/2y cannot be simplified any further because there are no like terms to combine. Therefore, this is the final answer.