Math Problem Statement

logb​(2a)+loga/2​​(2b)

Solution

It looks like you're asking to simplify or evaluate the expression involving logarithms:

logb(2a)+loga2(2b)\log_b (2a) + \log_{\frac{a}{2}} (2b)

However, the notation appears a bit unclear, especially with the placement of the asterisks and symbols. Could you confirm if you're referring to the logarithmic expression as written, or would you like to clarify it further? Specifically:

  1. Are the variables aa and bb part of the logarithmic bases or arguments?
  2. Is the term a2\frac{a}{2} supposed to be the base of the second logarithm?

Let me know if you'd like to proceed with simplification!

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Math Problem Analysis

Mathematical Concepts

Logarithms
Properties of Logarithms

Formulas

log_b(x) + log_c(y) = log_b(xy)
log_{a/b}(x) = log_a(x) / log_a(b)

Theorems

Logarithmic addition rule
Change of base formula

Suitable Grade Level

Grades 9-12