Does log eqaul to baswe 10?
So would logb=a be rewritten as 10^a=b?
AND
Why would ln5=x be rewritten as e^x=5?
is it because ln also means ln(e) the e is supposed to be lowered idk how.
The statement "log equals to base 10" is not completely accurate. In the context of logarithms, "log" typically refers to the common logarithm with base 10. However, it's important to note that logarithms can have different bases, such as the natural logarithm with base e.
To answer your first question, the equation "logb=a" can indeed be rewritten as "10^a=b" if we are referring to a logarithm with base 10. This is because the base 10 logarithm is the inverse function of raising 10 to a power (exponentiation).
Now, moving on to your second question, ln(x) represents the natural logarithm of x, with e (approximately 2.71828) as its base. So, the equation "ln(5) = x" can be rewritten as "e^x = 5". This is because the natural logarithm (ln) and the exponential function with base e (e^x) are inverse functions of each other.
You mentioned ln(e) and lowering the e. The notation "ln(e)" is equal to 1, since the natural logarithm with base e applied to e gives that result. However, it's not directly related to rewriting "ln5=x" as "e^x=5". Instead, it shows that ln(e) simplifies to a specific value.
In summary, the rewriting of logarithmic equations using exponential notation is based on the properties and relationships between logarithmic and exponential functions with specific bases.