Find the value of the following.
10^(-10log3)
The log exponent is confusing me. Could someone please help me? Thanks.
Of course, I'm here to help! To find the value of 10^(-10log3), we can break it down step by step.
First, let's start with the log exponent, 10log3. In mathematics, log3 refers to the logarithm of 3 to the base 10. This means we need to find the power to which we raise 10 to get 3.
log3 is approximately 0.477, which you can calculate using a calculator or logarithm tables. Remember that the base of the logarithm is 10 in this case.
Now, we have 10^(-10 * 0.477). Multiplying -10 and 0.477 gives us -4.77.
Finally, we can evaluate 10^-4.77. This means we need to find the number we raise 10 to get 10^-4.77.
10^-4.77 is approximately 0.00001907. This result can be calculated using a calculator or by understanding that negative exponents indicate the reciprocal of the positive exponent.
Therefore, the value of 10^(-10log3) is approximately 0.00001907.