Question

Express P in terms of others:

log P + log T = 2 log 10 + log I – log R

Answer 1

We are given:

log P + log T = 2 log 10 + log I – log R

Step 1: Combine logs on both sides

Left side:

log(PT)

Right side:

2 log 10 = log 10² = log 100

log 100 + log I = log(100I)

`log(100I) - log R = log ((100I)/R)`

Now the equation becomes:

`log(PT) = log((100I)/R)`

Step 2: Equate arguments

`PT = (100I)/R`

⇒ `P = (100I)/(RT)`