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Exponential Product Chain

Suppose that $ 4^{a}=5 $, $ 5^{b}=6 $, $ 6^{c}=7, $ and $ 7^{d}=8 $. What is $ a\cdot b\cdot c\cdot d $?

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4
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7
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9
$\frac{a}{b}$
.
0
=
%

$a^n$
$a^{\circ}$
$a_n$
$\sqrt{}$
$\sqrt[n]{}$
$\pi$
$\ln{}$
$\log$
$\theta$
$\sin{}$
$\cos{}$
$\tan{}$

$($
$)$
$[$
$]$
$\cap$
$\cup$
$,$
$\infty$