How do you solve for x?: #log_2(2^(x+3))=15#? Algebra Expressions, Equations, and Functions Variable Expressions 1 Answer iceman Oct 21, 2015 #x=12# Explanation: #log_2(2^(x+3))=15=># if #log_a(x)=yhArrx=a^y# , so: #2^(x+3)=2^15=>#when the same bases to different exponents are equal then the exponents must be equal, then: #x+3=15=># subtract 3 from both sides: #x=12# Answer link Related questions How do you write the variable expression for: a quotient of 2 and the sum of a number and 3 ? What are variables? What are variable expressions? How do you write variable expressions? How do you evaluate variable expressions? How do you simplify the expression #3x-x+4#? How do you write a quotient of a number and 6 as an expression? How do you evaluate the expression #2x+1# for #x=1#? How do you write a product of a number and 2 as an expression? How do you write 5 less than 2 times a number as a variable expression? See all questions in Variable Expressions Impact of this question 1487 views around the world You can reuse this answer Creative Commons License