arielrappold17
arielrappold17 arielrappold17
  • 03-07-2019
  • Mathematics
contestada

Which logarithmic equation has the same solution as x-4=2^3

Respuesta :

lucic
lucic lucic
  • 03-07-2019

Answer:

log₁₀ (10¹²)

Step-by-step explanation:

First you should find the solution to the given equation

x-4=2³

x-4=8

x=8+4=12

Now observe the behavior of logarithmic equations with the base 10

log₁₀ 100=2

log₁₀ 10000=4

log₁₀ 1000000=6

To get the answer to

log₁₀ y=12

Then y=10¹².........................how?

check for the first case

log₁₀ 100=2 this can be written as

10²=100

This means to get y in log₁₀y=12  you should rise the base to power 12

y=10¹²

This is to say that

log₁₀ (10¹²) = 12

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