Given that log 3=0.4771 and log 5=0.6990,evaluate the value of log 1.35+log 2.25

1 answer

To evaluate the value of log 1.35 + log 2.25, we can use the properties of logarithms.

We have:

log 1.35 + log 2.25 = log (1.35 * 2.25)

To evaluate the logarithm of a product, we can use the property log (a * b) = log a + log b.

Therefore, log (1.35 * 2.25) = log 1.35 + log 2.25

Using the given values, we have:

log 1.35 = 0.1303
log 2.25 = 0.3522

Substituting these values, we have:

log (1.35 * 2.25) = 0.1303 + 0.3522

Evaluating the sum, we get:

log (1.35 * 2.25) = 0.4825

Therefore, log 1.35 + log 2.25 = 0.4825.