To write the equation 4^7 = 16,384 in logarithmic form, we need to identify the base and exponent of the exponential equation.
Step 1: Understand the meaning of logarithmic form.
Logarithmic form represents an exponential equation where the base is raised to a certain power to equal a given value. The logarithmic form of an equation is written as log(base) (value) = exponent.
Step 2: Identify the base and value.
In the given equation, the base is 4, and the value is 16,384.
Step 3: Write the equation in logarithmic form.
Using the above information, the equation 4^7 = 16,384 can be written in logarithmic form as:
log(base 4) (16,384) = 7.
Hence, the logarithmic form of the equation 4^7 = 16,384 is log(base 4) (16,384) = 7.
write the equation in logarithmic form.
4^7=16384
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