Given that log 3=0.4771 and log 5=0.6990,evaluate the value of log 1.35+log 2.25
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.
To evaluate the value of log 1.35 + log 2.25, we can use the logarithmic property that states the sum of the logarithms of two numbers is equal to the logarithm of their product.
Step 1: Determine the product of 1.35 and 2.25.
1.35 * 2.25 = 3.0375
Step 2: Calculate the logarithm of the product from Step 1 using the given values.
log (3.0375)
Step 3: Simplify the equation.
log 1.35 + log 2.25 = log (3.0375)
Therefore, the value of log 1.35 + log 2.25 is log (3.0375).