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If x = 10^1.4, y = 10^0.7, and x^z = y^3, then what is the value of z

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If x = 10^1.4, y = 10^0.7, and x^z = y^3, then what is the value of z  [#permalink]

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New post 10 Apr 2019, 01:08
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A
B
C
D
E

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  15% (low)

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76% (01:15) correct 24% (01:00) wrong based on 33 sessions

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Re: If x = 10^1.4, y = 10^0.7, and x^z = y^3, then what is the value of z  [#permalink]

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New post 10 Apr 2019, 02:39
Bunuel wrote:
If \(x = 10^{1.4}\), \(y = 10^{0.7}\), and \(x^z = y^3\), then what is the value of z ?

(A) 0.5
(B) 0.66
(C) 1.5
(D) 2
(E) 3


\((10^{1.4z}=10^{0.7*3}\)
\(z=2.1/1.4=1.5\)
imo, option c.
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Re: If x = 10^1.4, y = 10^0.7, and x^z = y^3, then what is the value of z  [#permalink]

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New post 10 Apr 2019, 11:43
\(x=10^1.4\), \(y=10^0.7\) \(y=10^0.7\), and \(x^z=y^3\)
thus 1.4z =\(0.7*3\)= 2.1

hence z = 3/2 = 1.5
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Re: If x = 10^1.4, y = 10^0.7, and x^z = y^3, then what is the value of z   [#permalink] 10 Apr 2019, 11:43
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If x = 10^1.4, y = 10^0.7, and x^z = y^3, then what is the value of z

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