How do you write an equation of a line going through 16^(5x)= 64^(x+7)? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer ali ergin Jun 21, 2016 x=3 Explanation: 16^(5x)=64^(x+7) ? 2^(4(5x))=2^(6(x+7)) 4(5x)=6(x+7) 20x=6x+42 20x-6x=42 14x=42 x=3 Answer link Related questions What is a logarithmic model? How do I use a logarithmic model to solve applications? What is the advantage of a logarithmic model? How does the Richter scale measure magnitude? What is the range of the Richter scale? How do you solve 9^(x-4)=81? How do you solve logx+log(x+15)=2? How do you solve the equation 2 log4(x + 7)-log4(16) = 2? How do you solve 2 log x^4 = 16? How do you solve 2+log_3(2x+5)-log_3x=4? See all questions in Logarithmic Models Impact of this question 1216 views around the world You can reuse this answer Creative Commons License