In my textbook, there's an equation with log
ex.
log(50,000)+log(150,000)= some number
But when I use the log button on the calculator, the answer is not correct? But when I use the ln button, it's the correct answer?
So for log, you press ln, then what is the log button on the calculator for?
It is not clear to me above what is the base of the log. Unstated, we often use base 10, but not always. I am not certain what you are doing. But the point of the above is something else..
log Y + log x= log (x*Y)
so log(5*1.5*10^9)=9log(7.5)
the equation in my book is
0.5log(50,000)+0.5log(150,000)=11.37
I just punch these numbers and using log button on my calculator, the answer isn't correct. But when i use ln instead of log on my calculator, the answer is correct.
The logarithm function, commonly denoted as log, allows us to solve for an unknown exponent in an equation in the form of "a^x = b". However, there are different types of logarithms, namely the natural logarithm (ln) and the common logarithm (log).
The natural logarithm, ln, is the logarithm with base e, where e (Euler's number) is an irrational constant approximately equal to 2.71828. On the other hand, the common logarithm, log, is the logarithm with base 10.
In your textbook equation, log(50,000) + log(150,000) = some number, it seems that the base used is not explicitly mentioned. However, without any indication, it is understood to be log base 10.
When you use the log button on your calculator, it usually represents the common logarithm function (log base 10). So, to correctly solve the given equation using your calculator, you should press the log button.
If using the ln button on your calculator gives you the correct answer, it means that your calculator's ln function is being used as a shorthand notation for log with base e. In this case, using the ln button would not suffice for solving logarithmic equations with bases other than e.
To summarize, the log button on your calculator is designed to calculate the common logarithm (log base 10), while the ln button corresponds to the natural logarithm (log base e). If you encounter logarithmic equations with bases other than 10 or e, you may need to use additional mathematical transformations or software that allows you to specify the desired base explicitly.