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Learn how to evaluate log base 4 of 8 using the definition of a logarithm and exponential form. See the exact, decimal and mixed number forms of the answer and the step-by-step solution.
Expand the Logarithmic Expression log base 4 of 8. Step 1. Logarithm base of is . ...
The below is the work with steps to find what is log base 4 of 8 shows how the input values are being used in the log base 4 functions. Formula: log b (x) = y, if b y = x Input: x = 8 b = 4 Solution: y = log 4 8 = log(4 x 2) = log 4 (4) + log 4 (2) = 1 + 0.5 = 1.5 log 4 (8) = 1.5
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Solve for x log base 4 of x=8. Step 1. Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and , then is equivalent to . Step 2. Solve for . Tap for more steps... Step 2.1. Rewrite the equation as . Step 2.2. Raise to the power of .
1.5 Since 4^1=4 and 4^2=16, the answer lies between 1 and 2. There is no much more that we can do by hands, so I'm assuming you meant something like "how to compute log_4(8) with a calulator?" If so, you must use the rule that allows us to change the base: log_a(b) = log_c(b)/log_c(a) So, assuming your calculator has a button for the natural logarithm, you have log_4(8) = \frac{ln(8)}{ln(4)} = 1.5
The base 4 logarithm of 8 is 1.5 or log 4 8 = 1.5. Notes: i) e and pi are accepted values. ii) 1.2 x 10 3 should be entered as 1.2e3 and iii) 1.2 x 10-3 as 1.2e-3. Site map. Here is the answer to questions like: Log base 4 of 8 or what is the base 4 log of 8?
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log 4 (3) 0.79248125036058: log 4 (4) 1: log 4 (5) 1.1609640474437: log 4 (6) 1.2924812503606: log 4 (7) 1.4036774610288: log 4 (8) 1.5: log 4 (9) 1.5849625007212: log 4 (10) 1.6609640474437: log 4 (11) 1.7297158093186: log 4 (12) 1.7924812503606: log 4 (13) 1.8502198590705
log4(8): Free Logarithms and Natural Logarithms and Eulers Constant (e) Calculator - This calculator does the following: * Takes the Natural Log base e of a number x Ln(x) → log e x * Raises e to a power of y, e y * Performs the change of base rule on log b (x) * Solves equations in the form b cx = d where b, c, and d are constants and x is ...