Rewrite the statement log64=1.806 using exponents instead of logs.
NOTE: Fill in both sides of the equation to create an equivalent statement using exponents.



Answer :

log 64 = 1.806

Can be rewritten as:

10^1.806 = 64

Since the base log is 10 which is seen as:

[tex]\log_{10} 64 = 1.806[/tex]

Thus, it is saying that 10 to the power of 1.806 would equal to 64.

To rewrite log64=1.806 using exponents, identify the base 10 and convert it to [tex]10^{1.806[/tex] = 64.

To rewrite the statement log64 = 1.806 using exponents instead of logs, we need to understand what the logarithmic equation represents. The logarithmic equation logb(a) = c can be rewritten in exponential form as bc = a.

Given log64 = 1.806, let's determine the base of the logarithm, which is usually 10 if not specified:

  • [tex]log_{10}(64)[/tex] = 1.806

Rewriting this in exponential form, we get:

  • [tex]10^{1.806[/tex] = 64.