if log5 4 = .8614 and log5 9 = 1.3652 find the approximate value of log5 36.
would I multiply .8614 and 1.3652 or add them?
log5 (4*9) = log5 (4) + log5 (9)
oh ok so is it gonna be 2.2266
agree
if log5 3 = 0.6826 and log5 4 = 0.8614 find the approximate value of log5 36.
To find the approximate value of log5 36 using the given information, you need to use the properties of logarithms.
The logarithm of a product is equal to the sum of the logarithms. Similarly, the logarithm of a quotient is equal to the difference of the logarithms.
So, multiplying or adding the given values of log5 4 and log5 9 will not give you the value of log5 36.
To find the approximate value of log5 36, you can use the property of logarithms that states: loga (b^c) = c * loga (b)
In this case, we want to find log5 36, which can be rewritten as 5^x = 36, where x is the unknown value of log5 36.
To solve for x, we need to rewrite the equation as an exponential equation:
x = log5 36
Now, we need to rewrite 36 as a power of 5:
36 = 5^a
To solve for 'a', we can take the logarithm of both sides, base 5:
log5 (36) = log5 (5^a)
According to the logarithmic property, loga (a^b) = b, we obtain:
log5 (36) = a
So, the value of a will give you the approximate value of log5 36.
However, since the given information only provides the logarithms of 4 and 9, which are powers of 5, we cannot easily find the logarithm of 36 using only the given information.
To find the approximate value of log5 36, you would need either the actual logarithm or additional information.