Question

Convert the following functions.
(a) Convert the exponential function, 16^8= (x^2)(y^5)(z^3)to its corresponding logarithmic function.
(b) Write the log form from Part A into the expanded log form, expression must be fully expanded

Please answer quickly! I’m giving 45 points to who ever can answer this correctly and I will crown the person the brainliest

Answer 1

Answer:

• 32 = 2 log₂ x + 5 log₂ y + 3 log₂ z

Step-by-step explanation:

• 16⁸= x²y⁵z³
• (2⁴)⁸ = x²y⁵z³
• 2³² = x²y⁵z³
• log₂ 2³² = log₂ x²y⁵z³
• 32 = log₂ x² + log₂ y⁵ + log₂ z³
• 32 = 2 log₂ x + 5 log₂ y + 3 log₂ z