Logarithmic Equation

Question

log base 9.2 of 11.3^t is 2t+1. Answer to the nearest thousandth and show your work. 

Answer 1

log_9.2(11.3)^t = 2t+1

 

t(log_9.211.3) = 2t+1      Note:  log_9.211.3 = log11.3/log9.2 ≈ 1.0926455

 

1.0926455t = 2t+1

 

  -0.9073545t = 1

 

                  t ≈ -1.102

 

 

Answer 2

Hi Ethan,

 

What are we asked here? 2t = 1????   Please check and reword the question. Thanks.