Consider a two-period endowment economy with a single representative agent. That agent's utility function is:

U = ln(c_t) + (1/2)ln(c_t+1)

In this endowment economy, output is 100 in periodt and 150 in periodt+1. What is the equilibrium interest rate (r) in this economy?

Write your answer as a percentage, but omit the percent sign.