Question

Решить уравнение log2(x-5)=3

Answer 1

Log2(x-5)=3
x-5=2^3
x-5=8
х=8+5
х=13
одз x>5, корень подходит

Answer 2

${2}^{ 3} = x - 5 \\ x = 5 + 8 \\ x = 13$

Answer 3

To solve the equation log2(x - 5) = 3, we need to eliminate the logarithm and find the value of x. The equation is in logarithmic form, so we'll use the properties of logarithms to solve it.

The logarithm equation can be rewritten in exponential form as follows:

log2(x - 5) = 3 => 2^3 = x - 5

Now, we can solve for x:

2^3 = 8

x - 5 = 8

Add 5 to both sides:

x = 8 + 5

x = 13

So the solution to the equation is x = 13.