how to solve log10(1.4 x 10-5)
It equals log10(1.4) + log10(10^-5)
The second term is -5
The first term is
log10(1.4) = 0.1461
(You will need to use a table or calculator for that one)
0.1461 -5 = -4.854
To solve log10(1.4 x 10^-5), you can use the logarithmic property of logarithms. The log of a product is equal to the sum of the logs of the individual factors. So, you can break down the expression into log10(1.4) + log10(10^-5).
First, let's evaluate log10(1.4). To find the logarithm of a number with base 10, you can simply take the common logarithm of that number. Using a calculator, you can calculate log10(1.4) to be approximately 0.1461.
Next, let's evaluate log10(10^-5). The logarithm of a number raised to a negative exponent is equal to the negative logarithm of the number. So, log10(10^-5) is the same as -5 * log10(10). The logarithm of 10 to any base is 1, so log10(10) is equal to 1. Therefore, -5 * log10(10) is equal to -5.
Finally, you can add the two values together: 0.1461 + (-5) = -4.8539.
Therefore, log10(1.4 x 10^-5) is approximately equal to -4.8539.