Respuesta :

3 ^7 = 2187

y= b^x     x=logb^y

7=log3 ^2187

can you do the rest?

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It can be written as [tex]\rm{log_32187 = 7}[/tex].

Logarithm

A log function is a way to find how much a number must be raised in order to get the desire number. [tex]a^c = b[/tex] can be  written as

[tex]\rm{log_{a}b= c}[/tex]

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

For example, let's assume we need to raise the power for 10 to make it 1000 in this case log will help us to know that the power must be raised by 3.

[tex]\rm{log_{10}1000 = 3}[/tex]

Given to us,

Exponential, [tex]3^7 = 2187[/tex]

Now, a = 3, b= 2187, and c = 7.

Therefore, it can be written as [tex]\rm{log_32187 = 7}[/tex].

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