Solve the logarithmic equation for . Round to the nearest ten-thousandth.
A) 0.3333
B) 0.0833
C) -0.25
D) -1
E) -0.75

Question

Solve the logarithmic equation  for  . Round to the nearest ten-thousandth.
A) 0.3333 
B) 0.0833 
C) -0.25 
D) -1 
E) -0.75

Quizplus · Accepted Answer

Applying logarithmic property

11ec1b6e_3c5a_aaf8_bbf8_496b9cac75ec_TBX8728_11 = 7 − log(11ec1b6e_3c5a_aaf9_bbf8_cb7e8736ca2a_TBX8728_11)

11ec1b6e_3c5a_aaf8_bbf8_496b9cac75ec_TBX8728_11 = log(10 / 120ecab8_6019_9f17_701b_aa7fe2eb9278_TBX8728_10)

11ec1b6e_3c5a_aaf8_bbf8_496b9cac75ec_TBX8728_11 = log(1 / 12)

11ec1b6e_3c5a_aaf8_bbf8_496b9cac75ec_TBX8728_11 = -log12

11ec1b6e_3c5a_aaf9_bbf8_cb7e8736ca2a_TBX8728_11 = 1/12

Therefore 11ec1b6e_3c5a_aaf9_bbf8_cb7e8736ca2a_TBX8728_11 ≈ 0.0833

Solve the Logarithmic Equation for