Math Problem Statement

Solve the given logarithmic expressions, equations, and inequalities as shown in the image.

Solution

Here is a breakdown of the problems from your image:

  1. Вычислить (Calculate):

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Math Problem Analysis

Mathematical Concepts

Logarithms
Logarithmic Equations
Logarithmic Inequalities
Properties of Logarithms

Formulas

log_a(b) = c ⇔ a^c = b
log_a(xy) = log_a(x) + log_a(y)
log_a(x/y) = log_a(x) - log_a(y)
Change of Base Formula: log_a(b) = log_c(b) / log_c(a)

Theorems

Logarithmic Properties
Exponent-Logarithm Relationship

Suitable Grade Level

Grades 9-12

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