Given that log10^2 = 0.3010,log10^3= 0.4771 and log10^5=0.6990 find Log10^6.5 +Log10^4
To solve this problem, we can use the properties of logarithms to find Log10^6.5 +Log10^4:
1. Recall that when we add logarithms with the same base, we can multiply the numbers inside the logarithms.
2. Therefore, we can rewrite Log10^6.5 +Log10^4 as Log10^(6.5 * 4).
3. Now we just need to calculate 6.5 * 4. We know that Log10^2 = 0.3010, so we can use this to find 6.5 * 4:
Log10^2 = 0.3010
Log10^(2 * 2) = Log10^4 = 2 * 0.3010 = 0.6020.
Therefore, Log10^6.5 +Log10^4 = Log10^(6.5 * 4) = Log10^26 = 0.6020.