Simplify the expression ln ⁡ e 6 x − 5 \ln e ^ { 6 x - 5 } ln e 6 x − 5 .A) 6 x − 5 6 x - 5 6 x − 5 B) ( 6 x − 5 ) ln ⁡ ( 6 x − 5 ) ( 6 x - 5 ) \ln ( 6 x - 5 ) ( 6 x − 5 ) ln ( 6 x − 5 ) C) e 6 x − 5 e ^ { 6 x - 5 } e 6 x − 5 D) ( 6 x − 5 ) e 6 x − 5 ( 6 x - 5 ) e ^ { 6 x - 5 } ( 6 x − 5 ) e 6 x − 5 E) 6 x + 5 6 x + 5 6 x + 5

Question

Simplify the expression   ln ⁡ e 6 x − 5 \ln e ^ { 6 x - 5 } ln e 6 x − 5   .A)    6 x − 5 6 x - 5 6 x − 5 B)    ( 6 x − 5 )  ln ⁡ ( 6 x − 5 )  ( 6 x - 5 )  \ln ( 6 x - 5 )  ( 6 x − 5 )  ln ( 6 x − 5 )  C)    e 6 x − 5 e ^ { 6 x - 5 } e 6 x − 5 D)    ( 6 x − 5 )  e 6 x − 5 ( 6 x - 5 )  e ^ { 6 x - 5 } ( 6 x − 5 )  e 6 x − 5 E)    6 x + 5 6 x + 5 6 x + 5

Zybrea Knight · Accepted Answer

Final Answer : A, Explanation :   Using the property that   ln ⁡ e a = a \ln e^a = a ln e a = a   for any real value of   a a a  , we have: ln ⁡ e 6 x − 5 = 6 x − 5. \ln e^{6x-5} = 6x - 5. ln e 6 x − 5 = 6 x − 5. Therefore, the answer is choice A.

Simplify the expression $ln e ^ { 6 x - 5 }$ .

A) $6 x - 5$
B) $\ln ( 6 x - 5 )$
C) $e ^ { 6 x - 5 }$
D) $6 x - 5 ) e ^ { 6 x - 5 }$
E) $6 x + 5$

Definitions

Learning Objectives

Learning Objectives

Related questions

Simplify the expression ln⁡e6x−5\ln e ^ { 6 x - 5 }lne6x−5 .A) 6x−56 x - 56x−5 B) (6x−5) ln⁡(6x−5) ( 6 x - 5 ) \ln ( 6 x - 5 ) (6x−5) ln(6x−5) C) e6x−5e ^ { 6 x - 5 }e6x−5 D) (6x−5) e6x−5( 6 x - 5 ) e ^ { 6 x - 5 }(6x−5) e6x−5 E) 6x+56 x + 56x+5

Definitions

Learning Objectives

Learning Objectives

Related questions

Simplify the expression $ln e ^ { 6 x - 5 }$ .

A) $6 x - 5$
B) $\ln ( 6 x - 5 )$
C) $e ^ { 6 x - 5 }$
D) $6 x - 5 ) e ^ { 6 x - 5 }$
E) $6 x + 5$