Simplify the expression log ⁡ 6 6 x 8 \log _ { 6 } 6 ^ { x ^ { 8 } } lo g 6 6 x 8 .A) x 8 x ^ { 8 } x 8 B) 8 x 8 8 x ^ { 8 } 8 x 8 C) 6 x 8 6 x ^ { 8 } 6 x 8 D) x 6 x ^ { 6 } x 6 E) 8 x 9 8 x ^ { 9 } 8 x 9

Question

Simplify the expression   log ⁡ 6 6 x 8 \log _ { 6 } 6 ^ { x ^ { 8 } } lo g 6 ​ 6 x 8   .A)    x 8 x ^ { 8 } x 8 B)    8 x 8 8 x ^ { 8 } 8 x 8 C)    6 x 8 6 x ^ { 8 } 6 x 8 D)    x 6 x ^ { 6 } x 6 E)    8 x 9 8 x ^ { 9 } 8 x 9

charity ramatsea · Accepted Answer

Final Answer : A, Explanation :  Using the property $\log_a a^b = b\log_a a = b$, we have $\log_6 6^{x^8} = x^8 \log_6 6 = x^8 \cdot 1 = x^8$.

Simplify the expression $log _ { 6 } 6 ^ { x ^ { 8 } }$ .

A) $x ^ { 8 }$
B) $8 x ^ { 8 }$
C) $6 x ^ { 8 }$
D) $x ^ { 6 }$
E) $8 x ^ { 9 }$

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Learning Objectives

Related questions

Simplify the expression log⁡66x8\log _ { 6 } 6 ^ { x ^ { 8 } }log6​6x8 .A) x8x ^ { 8 }x8 B) 8x88 x ^ { 8 }8x8 C) 6x86 x ^ { 8 }6x8 D) x6x ^ { 6 }x6 E) 8x98 x ^ { 9 }8x9

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Learning Objectives

Learning Objectives

Related questions

Simplify the expression $log _ { 6 } 6 ^ { x ^ { 8 } }$ .

A) $x ^ { 8 }$
B) $8 x ^ { 8 }$
C) $6 x ^ { 8 }$
D) $x ^ { 6 }$
E) $8 x ^ { 9 }$